13–XX Commutative rings and algebras 13–01 Instructional exposition (textbooks, tutorial

COMMUTATIVE RINGS AND ALGEBRAS

13–XX2003302

13–XX Commutative rings and algebras

13–01Instructional exposition(textbooks,tutorial papers,etc.) (Bachmann,Olaf)see Greuel,Gert-Martin,2003k:13001

Greuel,Gert-Martin(with P?ster,Gerhard) A Singular introduction to commutative algebra.(English summary)2003k:13001

(Lossen,Christoph)see Greuel,Gert-Martin,2003k:13001

P?ster,Gerhard see Greuel,Gert-Martin,2003k:13001

(Sch¨o nemann,Hans)see Greuel,Gert-Martin,2003k:13001

Items with secondary classi?cations in13–01

Bini,Gilberto(with Flamini,Flaminio) Finite commutative rings and their applications. (English summary)2003m:13022

Cohn,P.M. Basic algebra.2003m:00001

Flamini,Flaminio see Bini,Gilberto,2003m:13022

(Jungnickel,Dieter)see Bini,Gilberto,2003m:13022

Littlewood,D.E. The skeleton key of mathematics.(English summary)2003j:01046 Musili,C. Algebraic geometry for beginners.(English summary)2003h:14001

13–03Historical(must also be assigned at least one classi?cation number from Section01)

Items with secondary classi?cations in13–03

Avramov,Luchezar L.The work of Jan-Erik Roos on the cohomology of commutative rings.(English summary)2003f:13012

Hykˇs ov′a,Magdalena Life and work of Karel Rychl′?k.2003f:01043

Mignotte,Maurice(with S?tef?a nescu,Doru)La premi`e re m′e thode g′e n′e rale de factorisation des polyn?omes.Autour d’un m′e moire de F.T.Schubert.(English and French summaries) [The?rst general polynomial factorization method:on a memoir of F.T.Schubert] 2003b:01023

(Roos,Jan-Erik)see Avramov,Luchezar L.,2003f:13012

(Rychl′?k,Karel)see Hykˇs ov′a,Magdalena,2003f:01043

(Schubert,F.T.)see Mignotte,Maurice,2003b:01023

S?tef?a nescu,Doru see Mignotte,Maurice,2003b:01023

Items listed otherwise than by author

Bibliography:

Roos,Jan-Erik see Avramov,Luchezar L.,2003f:13012

Rychl′?k,Karel see Hykˇs ov′a,Magdalena,2003f:01043

Biography:

Rychl′?k,Karel see Hykˇs ov′a,Magdalena,2003f:01043

13–04Explicit machine computation and programs(not the theory of computationor programmin g)

Avramov,Luchezar L.(with Grayson,Daniel R.)Resolutions and cohomology over complete intersections.

Decker,Wolfram(with Eisenbud,David)Sheaf algorithms using the exterior algebra. Eisenbud,David Projective geometry and homological algebra.

see also Decker,Wolfram

Gerdt,Vladimir P.On an algorithmic optimization in the computation of involutive bases. (Russian.Russian summary)

Grayson,Daniel R.(with Stillman,Michael E.)Data types,functions,and programming. see also Avramov,Luchezar L.

Hos?ten,Serkan(with Smith,Gregory G.)Monomial ideals.

Smith,Gregory G.see Hos?ten,Serkan

Stillman,Michael E.(with Sturmfels,Bernd;Thomas,R.R.)Algorithms for the toric Hilbert scheme.

see also Grayson,Daniel R.

Sturmfels,Bernd Ideals,varieties and Macaulay2.

see also Stillman,Michael E.et al.

Thomas,R.R.see Stillman,Michael E.et al.

Yanovich,Denis A.Parallelization of an algorithm for computing involutive Janet bases. (Russian.Russian summary)

Items with secondary classi?cations in13–04

(Bachmann,Olaf)see Greuel,Gert-Martin,2003k:13001

Greuel,Gert-Martin(with P?ster,Gerhard) A Singular introduction to commutative algebra.(English summary)2003k:13001

H¨u bl,Reinhold(with Swanson,Irena)Normal cones of monomial primes.(English summary)2003k:13005

(Lossen,Christoph)see Greuel,Gert-Martin,2003k:13001

P?ster,Gerhard see Greuel,Gert-Martin,2003k:13001

(Sch¨o nemann,Hans)see Greuel,Gert-Martin,2003k:13001

Sottile,Frank From enumerative geometry to solving systems of polynomials equations. Swanson,Irena see H¨u bl,Reinhold,2003k:13005

Thi′e ry,Nicolas https://www.wendangku.net/doc/c011257130.html,puting minimal generating sets of invariant rings of permutation groups with SAGBI-Gr¨obner basis.(English summary)2003a:13006

13–06Proceedings,conferences,collections,etc.

Items listed otherwise than by author

Theoretical e?ectivity and practical e?ectivity of Gr¨o bner bases Gurebuna-kitei no rironteki yˉukˉo sei to jissenteki yˉukˉo sei.(Japanese)[Theoretical e?ectivity and practical e?ectivity of Gr¨obner bases]Items with secondary classi?cations in13–06

(Loefwall,Clas)see Festschrift:Roos,Jan-Erik

(Macintyre,Angus)see Connections between model theory and algebraic and analytic geometry,2003d:00010

(Roos,Jan-Erik)see Festschrift:Roos,Jan-Erik

(Villard,Gilles)see Computer algebra

Items listed otherwise than by author

Computer algebra Computer algebra.

Connections between model theory and algebraic and analytic geometry Connections between model theory and algebraic and analytic geometry.2003d:00010 Festschrift:

Roos,Jan-Erik The Roos Festschrift volume.1.

The Roos Festschrift volume.2.

London,ON Computer algebra.

Symposium:

Symbolic and Algebraic Computation Computer algebra.

13Axx General commutative ring theory

13A02Graded rings[see also16W50]

Nhi,Dam Van Specialization of graded modules.(English summary)2003e:13001 Items with secondary classi?cations in13A02

Heinzer,William J.(with Roitman,Moshe)The homogeneous spectrum of a graded commutative ring.(English summary)2003c:13014

Presser,Kimberly J.Lex-segment ideals and the maximal growth of Hilbert functions.

(English summary)2003j:13022

Roitman,Moshe see Heinzer,William J.,2003c:13014

Singh,Anurag K.Cyclic covers of rings with rational singularities.(English summary) 2003m:13006

13A05Divisibility

Anderson,David F.(with Badawi,Ayman)Divisibility conditions in commutative rings with zerodivisors.(English summary)2003e:13002

Axtell,Michael U-factorizations in commutative rings with zero divisors.(English summary)2003d:13001

Badawi,Ayman see Anderson,David F.,2003e:13002

El-Kassar,A.N.(with Kojok,Badri′e)The number of irreducible elements in Z n.(English summary)

El-Kassar,N.Divisibility in Z n.(English summary)(see2003f:11005)

Kojok,Badri′e see El-Kassar,A.N.

Pellerin,S′e bastien(with Robert,Richard)Elasticity of A+XI[X]domains where A is a Dedekind domain.(English summary)2003g:13001

Robert,Richard see Pellerin,S′e bastien,2003g:13001

Items with secondary classi?cations in13A05

Dumitrescu,Tiberiu(with Zafrullah,Muhammad)LCM-splitting sets in some ring extensions.(English summary)2003h:13008

Hassler,Wolfgang Elasticity of factorizations in R0+XR1+···+X l R l[X].(English summary)2003f:13025

Zafrullah,Muhammad see Dumitrescu,Tiberiu,2003h:13008

13A15Ideals;multiplicative ideal theory

Amberg,Bernhard(with Kazarin,Lev)Commutative nilpotent p-algebras with small dimension.2003k:13002

Anderson,D.D.(with Dumitrescu,Tiberiu)Condensed domains.(English summary) 2003m:13001

Benkart,Georgia M.see Spellman,Dennis et al.,2003j:13001

Bonanzinga,Vittoria Lexsegment ideals in the exterior algebra.2003b:13001

Brewer,James W.(with Heinzer,William J.)On decomposing ideals into products of comaximal ideals.(English summary)2003h:13001

Chang,Gyu Whan(with Park,Jeanam)Star-invertible ideals of integral domains.(English and Italian summaries)2003m:13002

Chen,Lingjun(with Kobayashi,Hidetsune;Murao,Hirokazu;Suzuki,Hideo3)A machine proof of the proposition“Ideal?

i

PrimeIdeal i?Ideal?PrimeIdeal i”.(Japanese) Cimen,N.(with Erdogan,Ali;T?ras?,Y.)Linear growth of primary decompositions of modules and integral closures.(English summary)2003k:13003

Dumitrescu,Tiberiu see Anderson,D.D.,2003m:13001

Erdogan,Ali see Cimen,N.et al.,2003k:13003

Fontana,Marco(with Popescu,Nicolae)Nagata transforms and localizing systems.

(English summary)2003f:13001

(with Popescu,Nicolae)Universal property of the Kaplansky ideal transform and a?neness of open subsets.(English summary)2003i:13001

Gabelli,Stefania(with Houston,Evan)Ideal theory in pullbacks.2003a:13001 Gaglione,Anthony M.see Spellman,Dennis et al.,2003j:13001

Heinzer,William J.(with Rotthaus,Christel;Wiegand,Sylvia)Intermediate rings between

a local domain and its completion.II.(English summary)2003e:13003

see also Brewer,James W.,2003h:13001

Houston,Evan see Gabelli,Stefania,2003a:13001

Jara,P.(with Santos,Eva)Multiplicative ideal theory.(Spanish)(see2003a:00034)

Joyn er,W.David see Spellman,Dennis et al.,2003j:13001

Kazarin,Lev see Amberg,Bernhard,2003k:13002

Kidwell,Mark E.see Spellman,Dennis et al.,2003j:13001

Kobayashi,Hidetsune see Chen,Lingjun et al.

Matsuda,Ry?u ki Note on the number of semistar-operations.IV.(English summary)

2003e:13004

Note on the number of semistar-operations.V.(English summary)2003m:13003 Meyerson,Mark D.see Spellman,Dennis et al.,2003j:13001

Murao,Hirokazu see Chen,Lingjun et al.

Park,Jeanam see Chang,Gyu Whan,2003m:13002

Park,Mi Hee On overrings of strong Mori domains.(English summary)2003c:13001 Popescu,Nicolae see Fontana,Marco,2003f:13001and2003i:13001

Rotthaus,Christel see Heinzer,William J.et al.,2003e:13003

Santos,Eva see Jara,P.,(2003a:00034)

Spellman,Dennis(with Benkart,Georgia M.;Gaglione,Anthony M.;Joyner,W.David; Kidwell,Mark E.;Meyerson,Mark D.;Wardlaw,William P.)Principal ideals and associate rings.(English summary)2003j:13001

Suzuki,Hideo3see Chen,Lingjun et al.

T?ras?,Y.see Cimen,N.et al.,2003k:13003

Wang,Hsin-Ju Quadratic sequences and powers of ideals.2003k:13004

Wardlaw,William P.see Spellman,Dennis et al.,2003j:13001

Wiegand,Sylvia see Heinzer,William J.et al.,2003e:13003

Items with secondary classi?cations in13A15

Al-Shania?,Yousef see Anderson,D.D.,2003e:13012

Anderson,D.D.(with Al-Shania?,Y ousef)Multiplication modules and the ideal (M). (English summary)2003e:13012

Bosbach,Bruno Archimedean Pr¨ufer structures alias?lter Archimedean d-semigroups. (English summary)2003g:06007

Chang,Gyu Whan(with Kang,Byung Gyun)Integral closure of a ring whose regular ideals are?nitely generated.(English summary)2003i:13010

Chapman,Scott T.(with Loper,K.Alan;Smith,William W.)The strong two-generator property in rings of integer-valued polynomials determined by?nite sets.(English summary)2003e:13030

Chen,Janet(with Morey,S.E.;Sung,Anne)The stable set of associated primes of the ideal of a graph.(English summary)2003e:05132

Fuchs,L′a szl′o1(with Mosteig,Edward)Ideal theory in Pr¨ufer domains—an unconven-tional approach.(English summary)2003e:13028

Heinzer,William J.(with Ratli?,Louis J.,Jr.;Rush,David E.)Basically full ideals in local rings.(English summary)2003e:13014

Jayaram,C.l-prime elements in multiplicative lattices.(English summary)2003g:06020 Primary elements in Pr¨ufer lattices.(English summary)2003f:06023

Kang,Byung Gyun see Chang,Gyu Whan,2003i:13010

Lequain,Yves see de Souza Doering,Ada Maria,2003d:13006

Liu,Jung-Chen Algorithms on parametric decomposition of monomial ideals.(English summary)2003e:13031

Loper,K.Alan see Chapman,Scott T.et al.,2003e:13030

Matsuda,Ry?u ki A note on multiplicative ideal theory.(English summary)2003i:20105 Morey,S.E.see Chen,Janet et al.,2003e:05132

Mosteig,Edward see Fuchs,L′a szl′o1,2003e:13028

Pellerin,S′e bastien(with Robert,Richard)Elasticity of A+XI[X]domains where A is a Dedekind domain.(English summary)2003g:13001

Porubsk′y,ˇStefan Arithmetically related ideal topologies and the in?nitude of primes. (English summary)2003f:11151

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003e:13014

Robert,Richard see Pellerin,S′e bastien,2003g:13001

Rush,David E.see Heinzer,William J.et al.,2003e:13014

Sather-Wagsta?,Sean Intersections of symbolic powers of prime ideals.(English summary)2003c:13017

Smith,William W.see Chapman,Scott T.et al.,2003e:13030

de Souza Doering,Ada Maria(with Lequain,Yves)Extensions of semi-local rings sharing the same group of units.(English summary)2003d:13006

Sung,Anne see Chen,Janet et al.,2003e:05132

13A18Valuations and their generalizations[see also12J20]

Ein,Lawrence(with Lazarsfeld,Robert;Smith,Karen E.)Uniform approximation of Abhyankar valuation ideals in smooth function?elds.(English summary)2003m:13004 Galindo Pastor,Carlos On the structure of the value semigroup of a valuation.(English summary)2003h:13002

Knebusch,Manfred(with Zhang,Digen) Manis valuations and Pr¨ufer extensions.I. (English summary)2003j:13002

Lazarsfeld,Robert see Ein,Lawrence et al.,2003m:13004

Smith,KarenE.see Ein,Lawrence et al.,2003m:13004

Zanardo,Paolo Modules over Archimedean valuation domains and the problem of bounded module type.2003b:13002

Zhang,Digen The M-valuation spectrum of a commutative ring.2003c:13002

see also Knebusch,Manfred,2003j:13002

Items listed otherwise than by author

Lecture Notes inM athematics see Knebusch,Manfred,2003j:13002

Items with secondary classi?cations in13A18

BenNasr,M abrouk(with Jarboui,No?oman)Intermediate domains between a domain and some intersection of its localizations.(English and Italian summaries)2003j:13008 Bogomolov,Fedor(with Petrov,Tihomir) Algebraic curves and one-dimensional?elds. (English summary)2003j:14031

Chang,Gyu Whan(with Kang,Byung Gyun)Integral closure of a ring whose regular ideals are?nitely generated.(English summary)2003i:13010

Fortuny Ayuso,Pedro The valuative theory of foliations.(English summary)2003i:32050 Jarboui,No?o man see BenNasr,M abrouk,2003j:13008

Kang,Byung Gyun see Chang,Gyu Whan,2003i:13010

Lequain,Yves see de Souza Doering,Ada Maria,2003d:13006?ojasiewicz,Stanis?aw(with Maszczyk,Tomasz;Rusek,Kamil)On the Weierstrass division.(English summary)2003c:13018

Maszczyk,Tomasz see?ojasiewicz,Stanis?aw et al.,2003c:13018

Olalla-Acosta,Miguel′Angel Dimension of discrete valuations over k((X1,...,X n)).

(Spanish.Spanish summary)2003f:12006

Petrov,Tihomir see Bogomolov,Fedor,2003j:14031

Popescu,E.L.(with Popescu,Nicolae;Vraciu,C.)Completion of the spectral extension of p-adic valuation.2003g:11136

Popescu,Nicolae see Popescu,E.L.et al.,2003g:11136

Rusek,Kamil see?ojasiewicz,Stanis?aw et al.,2003c:13018

de Souza Doering,Ada Maria(with Lequain,Yves)Extensions of semi-local rings sharing the same group of units.(English summary)2003d:13006

Vraciu,C.see Popescu,E.L.et al.,2003g:11136

Yi,Zhong Dubrovin valuation skew group rings.(English summary)2003f:16046 Zhang,Digen The real holomorphy rings and the Schm¨udgen property.2003m:13021

13A30Associated graded rings of ideals(Rees ring,form ring), analytic spread and related topics

Bonanzinga,Vittoria(with Escobar,Cesar A.;Villarreal,Rafael H.)On the normality of Rees algebras associated to totally unimodular matrices.(English summary)2003f:13002 Eisenbud,David(with Huneke,Craig;Ulrich,Bernd)What is the Rees algebra of a module?(English summary)2003j:13003

Ene,Viviana On the Castelnuovo-Mumford regularity of Rees algebra.(English summary) 2003b:13003

Escobar,Cesar A.see Bonanzinga,Vittoria et al.,2003f:13002

Ghezzi,Laura On the depth of the associated graded ring of an ideal.(English summary) 2003b:13004

Goto,Shiro(with Iai,Shin-Ichiro)Gorenstein associated graded rings of analytic deviation two ideals.(English summary)2003a:13002

(with Haraikawa,Satoshi)Good ideals in Artinian Gorenstein local rings obtained by idealization.2003m:13005

(with Hayasaka,Futoshi;Iai,Shin-Ichiro)The a-invariant and Gorensteinness of

graded rings associated to?ltrations of ideals in regular local rings.(English summary) 2003j:13004

H`a,Huy T`a i On the Rees algebra of certain codimension two perfect ideals.(English summary)2003d:13002

Hara,Nobuo(with Watanabe,Kei-ichi;Y oshida,Ken-ichi2)F-rationality of Rees algebras.

(English summary)2003i:13002

(with Watanabe,Kei-ichi;Y oshida,Ken-ichi2)Rees algebras of F-regular type.(English summary)2003h:13003

Haraikawa,Satoshi see Goto,Shiro,2003m:13005

Hayasaka,Futoshi see Goto,Shiro et al.,2003j:13004

Herzog,J¨u rgen(with Popescu,Dorin;Ng?o Vi.?e t Trung)Regularity of Rees algebras.

2003f:13003

H¨u bl,Reinhold(with Swanson,Irena)Normal cones of monomial primes.(English summary)2003k:13005

Huneke,Craig see Eisenbud,David et al.,2003j:13003

Hyry,Eero Cohen-Macaulay multi-Rees algebras.(English summary)2003b:13005

Iai,Shin-Ichiro see Goto,Shiro et al.,2003a:13002and2003j:13004

Jayanthan,A.V.(with Verma,J.K.)Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.(English summary)2003h:13004

Kim,Mee-Kyoung Note on good ideals in Gorenstein local rings.(English summary) 2003h:13005

The dimension of the?ber cone.(English summary)2003j:13005

L?e Tu′?a nHoa Asymptotic behavior of reduction numbers.(English summary)2003g:13002 Morey,S.E.(with Vasconcelos,W.V.)Special divisors of blowup algebras.(English summary)2003c:13003

Ng?o Vi.?e t Trung see Herzog,J¨u rgenet al.,2003f:13003

Patil,D.P.(with Tamone,G.)On the type of the associated graded ring of certain monomial curves.(English summary)2003i:13003

Popescu,Dorin see Herzog,J¨u rgenet al.,2003f:13003

Swanson,Irena see H¨u bl,Reinhold,2003k:13005

Tamone,G.see Patil,D.P.,2003i:13003

Tomari,Masataka Certain associated graded rings of3-dimensional regular local rings are regular.(see2003a:14001)

Ulrich,Bernd see Eisenbud,David et al.,2003j:13003

Vasconcelos,W.V.see Morey,S.E.,2003c:13003

Verma,J.K.see Jayanthan,A.V.,2003h:13004

Villarreal,Rafael H.see Bonanzinga,Vittoria et al.,2003f:13002

Wang,Hsin-Ju On the associated graded rings of ideals of Cohen-Macaulay rings.

2003b:13006

Watanabe,Kei-ichi see Hara,Nobuo et al.,2003h:13003and2003i:13002

Yassemi,Siamak Weakly associated prime?ltration.(English summary)2003e:13005 Yoshida,Ken-ichi2see Hara,Nobuo et al.,2003h:13003and2003i:13002

Items with secondary classi?cations in13A30

B?a et?ic?a,C.F-rationality of algebras de?ned by Pfa?ans.(English summary)2003a:13012 Bivi`a-Ausina,Carles(with Fukui,Toshizumi;Saia,Marcelo Jos′e)Newton?ltrations, graded algebras and codimension of non-degenerate ideals.(English summary)

2003e:32046

Bruns,Winfried(with Conca,Aldo)Algebras of minors.2003a:13013

Ciuperc?a,C?a t?a lin A numerical characterization of the S2-i?cation of a Rees algebra.

(English summary)2003j:13033

Conca,Aldo Reduction numbers and initial ideals.(English summary)2003j:13036 see also Bruns,Winfried,2003a:13013

D’Cruz,Clare(with Verma,J.K.)Hilbert series of?ber cones of ideals with almost minimal mixed multiplicity.(English summary)2003b:13037

Duong Qu?o c Vi.?e t On some properties of(FC)-sequences of ideals in local rings.(English summary)2003i:13033

Flenner,Hubert(with Manaresi,Mirella)Equimultiplicity and equidimensionality of normal cones.2003a:13029

Fukui,Toshizumi see Bivi`a-Ausina,Carles et al.,2003e:32046

Heinzer,William J.(with Li,Aihua1;Ratli?,Louis J.,Jr.;Rush,David E.)Monoidal extensions of a Cohen-Macaulay unique factorization domain.(English summary) 2003d:13017

H¨u bl,Reinhold Log-resolutions,derivations,and evolutions.(English summary)

2003i:14017

Li,Aihua1see Heinzer,William J.et al.,2003d:13017

Manaresi,Mirella see Flenner,Hubert,2003a:13029

Popescu,Dorin Gr¨obner basis and depth of Rees algebras.2003k:13034

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003d:13017

Rush,David E.see Heinzer,William J.et al.,2003d:13017

Saia,Marcelo Jos′e see Bivi`a-Ausina,Carles et al.,2003e:32046

Simis,Aron(with Villarreal,Rafael H.)Constraints for the normality of monomial subrings and birationality.(English summary)2003k:13011

Verma,J.K.see D’Cruz,Clare,2003b:13037

Villarreal,Rafael H.see Simis,Aron,2003k:13011

Yamagishi,Kikumichi Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-I-invariant case.(English summary)2003b:13036

13A35Characteristic p methods(Frobenius endomorphism) and reduction to characteristic p;tight closure

[see also13B22]

Aberbach,IanM.Some conditions for the equivalence of weak and strong F-regularity. (English summary)2003b:13007

(with Enescu,Florian)Test ideals and base change problems in tight closure theory. (English summary)2003g:13003

Dumitrescu,Tiberiu On a theorem of N.Radu and M.Andr′e.II.(English summary) 2003b:13008

Enescu,Florian see Aberbach,IanM.,2003g:13003

Faridi,Sara The blowup closure of a set of ideals with applications to TI closure.(English summary)2003f:13004

Goto,Shiro(with Nakamura,Yukio1)The bound of the di?erence between parameter ideals and their tight closures.2003a:13003

Nakamura,Yukio1see Goto,Shiro,2003a:13003

Schoutens,Hans A non-standard proof of the Brianc?on-Skoda theorem.(English summary)2003i:13004

Singh,Anurag K.Cyclic covers of rings with rational singularities.(English summary) 2003m:13006

Smith,KarenE.Tight closure and vanishing theorems.2003f:13005

Vraciu,Adela?-independence and special tight closure.(English summary)2003d:13003 Strong test ideals.(English summary)2003a:13004

Items with secondary classi?cations in13A35

B?a et?ic?a,C.F-rationality of algebras de?ned by Pfa?ans.(English summary)2003a:13012 Hanes,Douglas Bounds on multiplicities of local rings.(English summary)2003k:13029 Hara,Nobuo(with Watanabe,Kei-ichi;Y oshida,Ken-ichi2)F-rationality of Rees algebras. (English summary)2003i:13002

(with Watanabe,Kei-ichi;Y oshida,Ken-ichi2)Rees algebras of F-regular type.(English summary)2003h:13003

Heitmann,Raymond C.The direct summand conjecture in dimension three.2003m:13008 Huneke,Craig(with Leuschke,Graham J.)Two theorems about maximal Cohen-Macaulay modules.(English summary)2003j:13011

Leuschke,Graham J.see Huneke,Craig,2003j:13011

Lyubeznik,Gennady A partial survey of local cohomology.2003b:14006

Takahashi,Ryo(with Y oshino,Yuji)Looking at homological dimensions through Frobenius map.(see2003k:16001)

Watanabe,Kei-ichi see Hara,Nobuo et al.,2003h:13003and2003i:13002

Yoshida,Ken-ichi2see Hara,Nobuo et al.,2003h:13003and2003i:13002

Yoshino,Yuji see Takahashi,Ryo,(2003k:16001)

13A50Actions of groups on commutative rings;invariant theory [see also14L24]

Cid,Carlos Frederico(with Plesken,W.)Invariants of?nite groups and involutive division. 2003i:13005

Derksen,Harm(with Kemper,Gregor) Computational invariant theory.(English summary)2003g:13004

Domokos,M.(with Kuzmin,S.G.;Zubkov,A.N.)Rings of matrix invariants in positive characteristic.(English summary)2003h:13006

Freudenburg,Gene A survey of counterexamples to Hilbert’s fourteenth problem.(English summary)2003f:13006

Kemper,Gregor Loci in quotients by?nite groups,pointwise stabilizers and the Buchs-baum property.(English summary)2003i:13006

see also Derksen,Harm,2003g:13004

Kuzmin,S.G.see Domokos,M.et al.,2003h:13006

Nabeshima,Isamu see Watanabe,Yoshihide

Neusel,Mara D.The transfer in the invariant theory of modular permutation representa-tions.II.(English summary)2003d:13004

Nguy??e nH?u’u Vi.?e t Hu’ng(with Tr?a n Ngoc Nam)A-decomposability of the modular invariants of linear groups.2003k:13006

Plesken,W.see Cid,Carlos Frederico,2003i:13005

Saltman,David J.Invariant?elds of symplectic and orthogonal groups.(English summary) 2003k:13007

Sezer,M¨u?t Sharpening the generalized Noether bound in the invariant theory of?nite groups.(English summary)2003h:13007Shank,R.James(with Wehlau,David L.)Noether numbers for subrepresentations of cyclic groups of prime order.(English summary)2003a:13005

(with Wehlau,David L.)Computing modular invariants of p-groups.(English

summary)2003j:13006

Shmelkin,D.A.First fundamental theorem for covariants of classical groups.(English summary)2003c:13004

Smith,Larry Invariants and coinvariants of?nite pseudore?ection groups,Jacobian determinants and Steenrod operations.(English summary)2003c:13005

Invariants of2×2-matrices over?nite?elds.(English summary)2003i:13007

On a theorem of R.Steinberg on rings of coinvariants.(English summary)2003k:13008 Thi′e ry,Nicolas https://www.wendangku.net/doc/c011257130.html,puting minimal generating sets of invariant rings of permutation groups with SAGBI-Gr¨obner basis.(English summary)2003a:13006

Tr?a nNgoc Nam see Nguy??e nH?u’u Vi.?e t Hu’ng,2003k:13006

Watanabe,Yoshihide(with Nabeshima,Isamu)Calculating generators of invariants rings for?nite groups by Asir.(Japanese)

Wehlau,David L.see Shank,R.James,2003a:13005and2003j:13006

Zubkov,A.N.see Domokos,M.et al.,2003h:13006

Items listed otherwise than by author

Encyclopaedia of Mathematical Sciences see Derksen,Harm,2003g:13004

Items with secondary classi?cations in13A50

Akhiezer,D.N.(with Panyushev,Dmitrii I.)Multiplicities in the branching rules and the complexity of homogeneous spaces.(English and Russian summaries)2003d:14057 Artamkin,D.I.(with Nurmiev,A.G.)Orbits and invariants of third-order cubic matrices with symmetric layers.(Russian.Russian summary)2003k:14058

Arzhantsev,Ivan V.Invariant di?erential operators and representations with spherical orbits.(English summary)2003e:20047

Beth,Thomas see Charnes,Chris et al.,2003e:94065and2003h:05043

Brini,A.(with Regonati,F.;Teolis,A.G.B.)Grassmann geometric calculus,invariant theory and superalgebras.2003b:15039

Charnes,Chris(with R¨otteler,Martin;Beth,Thomas)On homogeneous bent functions.

(English summary)2003e:94065

(with R¨otteler,Martin;Beth,Thomas)Homogeneous bent functions,invariants,and designs.(English summary)2003h:05043

Ciampella,Adriana Cohomology operations and unipotent invariants.(English summary) 2003j:55015

(with Lomonaco,Luciano Amito)On the double power operation.(English summary) 2003c:55021

Derksen,Harm(with Sidman,Jessica)A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements.(English summary)2003m:13013

(with Weyman,Jerzy)On the Littlewood-Richardson polynomials.(English summary) 2003i:16021

(with Weyman,Jerzy)Semi-invariants for quivers with relations.2003m:16018 Domokos,M.Relative invariants for representations of?nite dimensional algebras.

(English summary)2003d:16017

Finite generating system of matrix invariants.(English summary)2003g:16031

(with Lenagan,T.H.)Conjugation coinvariants of quantum matrices.(English

summary)2003h:20090

Fe??gin,M.V.(with Veselov,A.P.)Quasi-invariants of Coxeter groups and m-harmonic polynomials.2003j:20067

Kuroda,Shigeru1The in?niteness of the SAGBI bases for certain invariant rings.

2003k:13033

La Scala,Roberto(with Logar,Alessandro)Action of the Borel group on monomial ideals.(English summary)2003a:13034

Lenagan,T.H.see Domokos,M.,2003h:20090

Logar,Alessandro see La Scala,Roberto,2003a:13034

Lomonaco,Luciano Amito see Ciampella,Adriana,2003c:55021

Nurmiev,A.G.see Artamkin,D.I.,2003k:14058

Panyushev,Dmitrii I.see Akhiezer,D.N.,2003d:14057

Regonati,F.see Brini,A.et al.,2003b:15039

Rikuna,Yˉu ichi On generic polynomials for the modular2-groups.(English summary) 2003b:12005

Rota,Gian-Carlo(with Stein,J.A.)A formal theory of resultants.I.An algorithm in invariant theory.2003j:05127a

(with Stein,J.A.)A formal theory of resultants.II.A constructive de?nition of the resultant.2003j:05127b

R¨o tteler,Martin see Charnes,Chris et al.,2003e:94065and2003h:05043

Rumberger,Matthias(with Scheurle,J¨urgen)The orbit space method:theory and application.2003b:58012

Scheurle,J¨u rgen see Rumberger,Matthias,2003b:58012

Scho?eld,Aidan(with Van den Bergh,Michel)Semi-invariants of quivers for arbitrary dimension vectors.(English summary)2003e:16016

Sidman,Jessica see Derksen,Harm,2003m:13013

Stein,J.A.see Rota,Gian-Carlo,2003j:05127a and2003j:05127b

Teolis,A.G.B.see Brini,A.et al.,2003b:15039

VandenBergh,M ichel see Scho?eld,Aidan,2003e:16016

Veselov,A.P.see Fe??gin,M.V.,2003j:20067

Weyman,Jerzy see Derksen,Harm,2003i:16021and2003m:16018

13A99None of the above,but in this section

Anderson,D.D.(with Camillo,Victor)Commutative rings whose elements are a sum of a unit and idempotent.(English summary)2003e:13006

Anderson,David F.(with Levy,Ronnie;Shapiro,Jay)Zero-divisor graphs,von Neumann regular rings,and Boolean algebras.(English summary)2003m:13007 Bukhshtaber,V.M.(with Rees,E.G.)The Gelfand map and symmetric products.

2003k:13009

Camillo,Victor see Anderson,D.D.,2003e:13006

13B Ring extensions and related topics

305200313B22

Diagana,Youssouf M.Regular analytic independence and extensions of analytic spread. (English summary)2003e:13007

Hou,Wei Hua A new construction of the one-way ring homomorphism and two digital multisignature schemes.(Chinese.English and Chinese summaries)

Levy,Ronnie see Anderson,David F.et al.,2003m:13007

Mulay,S.B.Cycles and symmetries of zero-divisors.(English summary)2003j:13007a see also Errata:“Cycles and symmetries of zero-divisors”,2003j:13007b

Rahnamai Barghi,A.On commutative quasi-hyperrings.(English summary)

Rees,E.G.see Bukhshtaber,V.M.,2003k:13009

Shapiro,Jay see Anderson,David F.et al.,2003m:13007

Items listed otherwise than by author

Errata:

“Cycles and symmetries of zero-divisors”Erratum:“Cycles and symmetries of zero-divisors”[Comm.Algebra30(2002),no.7,3533–3558;MR2003j:13007a]by S.B.

Mulay.2003j:13007b

Items with secondary classi?cations in13A99

(Arad,Zvi)see Standard integral table algebras generated by a non-real element of small degree,2003e:20001

Delaleau,Emmanuel see Fliess,Michel et al.,2003m:93034

DeMeyer,F.R.(with McKenzie,Thomas;Schneider,Kim)The zero-divisor graph of a commutative semigroup.(English summary)2003d:20091

Fan,Yun(with Sun,Daying)On isomorphisms of integral table algebras.(English summary)2003k:20015

Fliess,Michel(with Marquez,Richard;Delaleau,Emmanuel;Sira-Ram′?rez,Hebertt) Correcteurs proportionnels-int′e graux g′e n′e ralis′e s.(English and French summaries) [Generalized proportional integral controllers]2003m:93034

Marquez,Richard see Fliess,Michel et al.,2003m:93034

McKenzie,Thomas see DeMeyer,F.R.et al.,2003d:20091

(Muzychuk,Mikhail)see Standard integral table algebras generated by a non-real element of small degree,2003e:20001

Schneider,Kim see DeMeyer,F.R.et al.,2003d:20091

Sira-Ram′?rez,Hebertt see Fliess,Michel et al.,2003m:93034

Sun,Daying see Fan,Yun,2003k:20015

Wood,Je?rey James Key problems in the extension of module-behaviour duality.(English summary)2003f:93048

Items listed otherwise than by author

Lecture Notes inM athematics Standard integral table algebras generated by a non-real element of small degree.2003e:20001

Standard integral table algebras generated by a non-real element of small degree Standard integral table algebras generated by a non-real element of small degree.2003e:20001

13Bxx Ring extensions and related topics

13B02Extension theory

Anderson,D.D.(with Dobbs,David E.;Mullins,Bernadette)The primitive element theorem for commutative algebras.(English summary)2003b:13009a

(with Dobbs,David E.;Mullins,Bernadette)Corrigendum:“The primitive element theorem for commutative algebras”.2003b:13009b

Baba,Kiyoshi(with Y oshida,Ken-ichi1)Flatness and faithful?atness of a two-generator extension R[α, ]of a Noetherian domain R.(English summary)2003b:13010

(with Y oshida,Ken-ichi1)Equivalence classes on linear fractional transforms of anti-integral elements.(English summary)2003b:13011

(with Y oshida,Ken-ichi1)Simple extensions of linear fractional transforms of an anti-integral element over an integral domain.(English summary)2003c:13006

see also Sato,Junro et al.

BenNasr,M abrouk Some remarks on residually algebraic pairs of rings.(English summary)2003d:13005

(with Jarboui,No?oman)Intermediate domains between a domain and some intersection of its localizations.(English and Italian summaries)2003j:13008

Dobbs,David E.(with Fontana,Marco;Picavet,Gabriel)A spectral construction of a treed domain that is not going-down.(English summary)2003e:13008

see also Anderson,D.D.et al.,2003b:13009a and2003b:13009b

Dumitrescu,Tiberiu(with Zafrullah,Muhammad)LCM-splitting sets in some ring extensions.(English summary)2003h:13008

Fontana,Marco see Dobbs,David E.et al.,2003e:13008

Heitmann,Raymond C.The direct summand conjecture in dimension three.2003m:13008 Hochster,Melvin Presentation depth and the Lipman-Sathaye Jacobian theorem.(English summary)2003g:13005

Izelgue,L.(with Karim,D.)Zero-dimensional subrings of a product of commutative rings. (English summary)2003h:13009

Jarboui,No?o man When is each proper overring of R an S(eidenberg)-domain?(English summary)2003h:13010

see also BenNasr,M abrouk,2003j:13008

Karim,D.see Izelgue,L.,2003h:13009

Lequain,Yves see de Souza Doering,Ada Maria,2003d:13006

Mullins,Bernadette see An derson,D.D.et al.,2003b:13009a and2003b:13009b

Oda,Susumu(with Y oshida,Ken-ichi1)On units of an anti-integral extension R[α]and conditions for an linear fractional transformation ofαto satisfy R[ ]=R[α].(English summary)2003g:13006

Anti-integral extensions and Zariski’s main theorem.2003i:13008

Picavet,Gabriel Algebraically?at or projective algebras.(English summary)2003i:13009 see also Dobbs,David E.et al.,2003e:13008

Sato,Junro(with Baba,Kiyoshi;Y oshida,Ken-ichi1)A note on denominator ideals of linear fractional transforms of an anti-integral element over an integral domain.(English summary)de Souza Doering,Ada Maria(with Lequain,Yves)Extensions of semi-local rings sharing the same group of units.(English summary)2003d:13006

Yoshida,Ken-ichi1see Baba,Kiyoshi,2003b:13010;2003b:13011;2003c:13006;Oda, Susumu,2003g:13006and Sato,Junro et al.

Zafrullah,Muhammad see Dumitrescu,Tiberiu,2003h:13008

Items with secondary classi?cations in13B02

Brzezi′n ski,Tomasz The structure of corings:induction functors,Maschke-type theorem, and Frobenius and Galois-type properties.(English summary)2003h:16060

Jarboui,No?o man(with Y engui,Ihsen)Absolutely S-domains and pseudo-polynomial rings.(English summary)2003i:13017

Oda,Susumu(with Y oshida,Ken-ichi1)Extensions R[ ]∩R[ ?1]and R[α]∩R[α?1]are equal for any transformation =(cα?d)/(aα?b)of an anti-integral elementαwith ad?bc∈R×.(English summary)2003b:13013

Schoutens,Hans Recursive sequences and faithfully?at extensions.(English summary) 2003c:13008

Yengui,Ihsen see Jarboui,No?o man,2003i:13017

Yoshida,Ken-ichi1see Oda,Susumu,2003b:13013

13B05Galois theory

Items with secondary classi?cations in13B05

Szeto,George(with Xue,Lianyong)On splitting rings for Azumaya skew polynomial rings.(English summary)2003a:16039

Xue,Lianyong see Szeto,George,2003a:16039

13B10Morphisms

Ionescu,Cristodor(with Restuccia,Gaetana)A note on P-morphisms.(English summary) 2003d:13007

Mesablishvili,Bachuki On some properties of pure morphisms of commutative rings.

(English summary)2003c:13007

Restuccia,Gaetana see Ionescu,Cristodor,2003d:13007

Schoutens,Hans Recursive sequences and faithfully?at extensions.(English summary) 2003c:13008

Items with secondary classi?cations in13B10

Jelonek,Zbigniew(with Kara′s,Marek)The set of points at which a morphism of a?ne schemes is not?nite.(English summary)2003c:14004

Kara′s,Marek see Jelonek,Zbigniew,2003c:14004

Liu,Zhuo Jun see Wang,Ming Sheng2,2003c:14072

Wang,Ming Sheng2(with Liu,Zhuo Jun)A note on polynomial automorphism identity sets.(Chinese.English and Chinese summaries)2003c:14072

13B21Integral dependence

Anderson,D.D.(with Dobbs,David E.)Residually FIP extensions of commutative rings.

(English summary)2003b:13012

Dobbs,David E.see Anderson,D.D.,2003b:13012

Oda,Susumu(with Y oshida,Ken-ichi1)Extensions R[ ]∩R[ ?1]and R[α]∩R[α?1]are equal for any transformation =(cα?d)/(aα?b)of an anti-integral elementαwith ad?bc∈R×.(English summary)2003b:13013

Yoshida,Ken-ichi1see Oda,Susumu,2003b:13013

Items with secondary classi?cations in13B21

Eisenbud,David(with Huneke,Craig;Ulrich,Bernd)What is the Rees algebra of a module?(English summary)2003j:13003

Huneke,Craig see Eisenbud,David et al.,2003j:13003

Oda,Susumu(with Y oshida,Ken-ichi1)On units of an anti-integral extension R[α]and conditions for an linear fractional transformation ofαto satisfy R[ ]=R[α].(English summary)2003g:13006

Ulrich,Bernd see Eisenbud,David et al.,2003j:13003

Yoshida,Ken-ichi1see Oda,Susumu,2003g:13006

13B22Integral closure of rings and ideals[see also13A35];

integrally closed rings,related rings(Japanese,etc.) Chang,Gyu Whan(with Kang,Byung Gyun)Integral closure of a ring whose regular ideals are?nitely generated.(English summary)2003i:13010

Kang,Byung Gyun see Chang,Gyu Whan,2003i:13010

Ratli?,Louis J.,Jr.(with Rush,David E.)Asymptotic primes of delta closures of ideals.

(English summary)2003k:13010

Rush,David E.see Ratli?,Louis J.,Jr.,2003k:13010

Simis,Aron(with Villarreal,Rafael H.)Constraints for the normality of monomial subrings and birationality.(English summary)2003k:13011

Villarreal,Rafael H.see Simis,Aron,2003k:13011

Items with secondary classi?cations in13B22

Anderson,D.D.(with Dumitrescu,Tiberiu)Condensed domains.(English summary) 2003m:13001

Anderson,David F.(with Badawi,Ayman)Divisibility conditions in commutative rings with zerodivisors.(English summary)2003e:13002

Badawi,Ayman see Anderson,David F.,2003e:13002

Bonanzinga,Vittoria(with Escobar,Cesar A.;Villarreal,Rafael H.)On the normality of Rees algebras associated to totally unimodular matrices.(English summary)2003f:13002 Cimen,N.(with Erdogan,Ali;T?ras?,Y.)Linear growth of primary decompositions of modules and integral closures.(English summary)2003k:13003

Dumitrescu,Tiberiu see Anderson,D.D.,2003m:13001

Erdogan,Ali see Cimen,N.et al.,2003k:13003

COMMUTATIVE RINGS AND ALGEBRAS

13B222003306

Escobar,Cesar A.see Bonanzinga,Vittoria et al.,2003f:13002

Ga?ney,Terence The theory of integral closure of ideals and modules:applications and new developments.2003b:32033

Hochster,Melvin Presentation depth and the Lipman-Sathaye Jacobian theorem.(English summary)2003g:13005

Ionescu,Cristodor(with Restuccia,Gaetana)A note on P-morphisms.(English summary) 2003d:13007

Jarrah,Abdul Salam Integral closures of Cohen-Macaulay monomial ideals.(English summary)2003k:13024

(Kleiman,Steven)see Ga?ney,Terence,2003b:32033

Restuccia,Gaetana see Ionescu,Cristodor,2003d:13007

Sawaya,Jamil Divisions selon les puissances fractionnaires d’un id′e al engendr′e par une suite r′e guli`e re dans l’anneau des germes`a l’origine de fonctions holomorphes sur

C2.(English and French summaries)[Divisions by the fractional powers of an ideal generated by a regular sequence in the ring of germs of holomorphic functions at the origin of C2]2003a:32008

(Thorup,Anders)see Ga?ney,Terence,2003b:32033

T?ras?,Y.see Cimen,N.et al.,2003k:13003

Villarreal,Rafael H.see Bonanzinga,Vittoria et al.,2003f:13002

13B24Going up;going down;going between

Brenner,Holger Lifting chains of prime ideals.(English summary)2003m:13009

13B25Polynomials over commutative rings[see also11C08, 13F20,13M10]

Berson,Joost Stably tame coordinates.(English summary)2003e:13009

Drensky,Vesselin(with Yu,Jie-Tai)Retracts and test polynomials of polynomial algebras. (English summary)2003f:13007

Heinzer,William J.(with Lantz,David C.)Factorization of monic polynomials.(English summary)2003m:13010

Lantz,David C.see Heinzer,William J.,2003m:13010

Yu,Jie-Tai see Drensky,Vesselin,2003f:13007

Items with secondary classi?cations in13B25

Benedetto,Robert L.An elementary product identity in polynomial dynamics.

2003g:11021

Bi,Guoan see Zeng,Yonghonget al.,2003a:65123

Glasby,S.P.On the tensor product of polynomials over a ring.(English summary)

2003d:13025

Larson,Suzanne The intermediate value theorem in f-rings.2003g:06022

Lin,Zhi Ping see Zeng,Yonghonget al.,2003a:65123

Maubach,Stefan The linearisation conjecture and other problems over nonreduced rings. (English summary)2003b:14075

Novik,Isabella Lyubeznik’s resolution and rooted complexes.(English summary)

2003j:13021

Zeng,Yonghong(with Bi,Guoan;Lin,Zhi Ping)Combined polynomial transform and radix-q algorithm for multi-dimensional DCT-III.(English summary)2003a:65123

13B30Quotients and localization

Items with secondary classi?cations in13B30

Hager,Anthony W.(with Martinez,Jorge2)The ring ofα-quotients.(English summary) 2003f:06027

Martinez,Jorge2see Hager,Anthony W.,2003f:06027

13B35Completion[see also13J10]

Items with secondary classi?cations in13B35

Ionescu,Cristodor(with Restuccia,Gaetana)A note on P-morphisms.(English summary) 2003d:13007

Restuccia,Gaetana see Ionescu,Cristodor,2003d:13007

13B40′Etale and?at extensions;Henselization;Artin

approximation[see also13J15,14B12,14B25]

Avtar,Ram Henselization of commutative ring.

Items with secondary classi?cations in13B40

Aberbach,IanM.(with Enescu,Florian)Test ideals and base change problems in tight closure theory.(English summary)2003g:13003

Enescu,Florian see Aberbach,IanM.,2003g:13003

Etesse,Jean-Yves Rel`e vement de sch′e mas et alg`e bres de Monsky-Washnitzer:th′e or`e mes d’′e quivalence et de pleine?d′e lit′e.[Lifting of schemes and Monsky-Washnitzer algebras: equivalence and full faithfulness theorems]2003g:14025

Picavet,Gabriel Algebraically?at or projective algebras.(English summary)2003i:13009

13B99None of the above,but in this section

Items with secondary classi?cations in13B99

Picavet-L’Hermitte,Martine Root closure in algebraic orders.(English summary)

2003e:13034

13Cxx Theory of modules and ideals 13C05Structure,classi?cationtheorems

Atani,Shahabaddin Ebrahimi Submodules of secondary modules.(English summary) 2003h:13011

Karr,Ryan Failure of cancellation for quartic and higher-degree orders.(English summary) 2003j:13009

Kattchee,K.Monoids and direct-sum decompositions over local rings.(English summary) 2003i:13011

Le Thanh Nhan see Nguy??e nTu.’Cu’`o’ng,2003c:13009

Nguy??e nTu.’Cu’`o’ng(with Le Thanh Nhan)On representable linearly compact modules.

(English summary)2003c:13009

Items with secondary classi?cations in13C05

Bazzoni,S.(with Salce,Luigi)Strongly?at covers.(English summary)2003g:13008 Salce,Luigi see Bazzoni,S.,2003g:13008

Yao,Yongwei Primary decomposition:compatibility,independence and linear growth.

(English summary)2003a:13021

13C10Projective and free modules and ideals[see also19A13] Anvariyeh,S.M.(with Davvaz,Bijan)U-split-exact sequences.(English summary) 2003d:13008

Bhatwadekar,S.M.(with Sridharan,Raja)On Euler classes and stably free projective modules.2003i:13012

Bullington,Grady D.(with Dobbs,David E.)How many random submodules of a free module should be summed to yield the free module?2003f:13008

Davvaz,Bijan see Anvariyeh,S.M.,2003d:13008

Dobbs,David E.see Bullington,Grady D.,2003f:13008

Feng,Liang Gui(with Lam,T.Y.)Projective modules over some Pr¨ufer rings.

2003m:13011

Gago-Vargas,Jes′u s Projective modules over rings of polynomials with coe?cients in Dedekind domains.(Spanish.Spanish summary)2003m:13012

Constructions in R[x1,...,x n]:applications to K-theory.(English summary)

2003b:13014

Lam,T.Y.see Feng,Liang Gui,2003m:13011

Maxson,C.J.Forcing linearity numbers for projective modules.(English summary) 2003e:13010

Murthy,M.Pavaman Cancellation problem for projective modules over certain a?ne algebras.2003j:13010

Sridharan,Raja see Bhatwadekar,S.M.,2003i:13012

Items with secondary classi?cations in13C10

Eklof,Paul C.(with Shelah,Saharon)Whitehead modules over large principal ideal domains.(English summary)2003f:13014

Karr,Ryan Failure of cancellation for quartic and higher-degree orders.(English summary) 2003j:13009

M ohanKumar,N.A note on cancellation of re?exive modules.2003e:13015

Shelah,Saharon see Eklof,Paul C.,2003f:13014

13C11Injective and?at modules and ideals

Ansari-Toroghy,H.Asymptotic stability of some sequences related to integral closure.

(English summary)2003g:13007

Asadollahi,J.(with Khashyarmanesh,K.;Salarian,Sh.)On the minimal?at resolutions of modules.2003h:13012

Faith,Carl Indecomposable injective modules and a theorem of Kaplansky.(English summary)2003i:13013

Khashyarmanesh,K.see Asadollahi,J.et al.,2003h:13012

Kreuzer,Alexander(with Maxson,C.J.)Forcing linearity numbers for injective modules over PID’s.(English summary)2003d:13009

Maxson,C.J.see Kreuzer,Alexander,2003d:13009

Payrovi,Sh.Structure of the?at covers of Artinian modules.(English summary) 2003f:13009

Salarian,Sh.see Asadollahi,J.et al.,2003h:13012

Items with secondary classi?cations in13C11

Ansari-Toroghy,H.M-injectivity and asymptotic behaviour.(English summary) 2003f:13019

Baba,Kiyoshi(with Y oshida,Ken-ichi1)Flatness and faithful?atness of a two-generator extension R[α, ]of a Noetherian domain R.(English summary)2003b:13010 Enochs,Edgar E.(with Kim,Hae-Sik;Song,Y eong-Moo)Injective covers over com-mutative Noetherian rings with global dimension at most two.(English summary)

2003k:13016

Kim,Hae-Sik see Enochs,Edgar E.et al.,2003k:13016

Song,Yeong-Moo see Enochs,Edgar E.et al.,2003k:13016

Yoshida,Ken-ichi1see Baba,Kiyoshi,2003b:13010

13C12Torsionmodules an d ideals

Pusat-Yilmaz,D.(with Smith,Patrick F.)Modules which satisfy the radical formula.

(English summary)2003h:13013

Smith,Patrick F.see Pusat-Yilmaz,D.,2003h:13013

Items with secondary classi?cations in13C12

Eisenbud,David(with Huneke,Craig;Ulrich,Bernd)What is the Rees algebra of a module?(English summary)2003j:13003

Huneke,Craig see Eisenbud,David et al.,2003j:13003

Ulrich,Bernd see Eisenbud,David et al.,2003j:13003

13C Theory of modules and ideals

307200313C20 13C13Other special types

Ali,Majid M.(with Smith,David J.)Multiplication modules and a theorem of P.F.Smith.

(English summary)2003e:13011

Al-Shania?,Yousef see Anderson,D.D.,2003e:13012

Anderson,D.D.(with Al-Shania?,Y ousef)Multiplication modules and the ideal (M).

(English summary)2003e:13012

Atani,Shahabaddin Ebrahimi On indecomposable separated secondary modules over Z G.

(English summary)2003i:13014

On secondary modules over pullback rings.(English summary)2003e:13013

Bazzoni,S.(with Salce,Luigi)Strongly?at covers.(English summary)2003g:13008

G¨o bel,R¨u diger(with Paras,Agnes T.)Splitting o?free summands of torsion-free modules

over complete DVRs.(English summary)2003c:13010

Heinzer,William J.(with Ratli?,Louis J.,Jr.;Rush,David E.)Basically full ideals in local

rings.(English summary)2003e:13014

M ohanKumar,N.A note on cancellation of re?exive modules.2003e:13015

Morariu,Wanda A class of modules with primary decomposition.(English summary)

2003a:13007

NguyenThi Hon g Loan see Nguy??e nTu.’Cu’`o’ng,2003i:13015

Nguy??e nTu.’Cu’`o’ng(with Nguyen Thi Hong Loan)On pseudo-Buchsbaum modules.

2003i:13015

Paras,Agnes T.see G¨o bel,R¨u diger,2003c:13010

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003e:13014

Rush,David E.see Heinzer,William J.et al.,2003e:13014

Salce,Luigi War?eld domains:module theory from linear algebra to commutative algebra

through abelian groups.(English summary)2003h:13014

see also Bazzoni,S.,2003g:13008

Smith,David J.see Ali,Majid M.,2003e:13011

Xue,Wei Min2Generalized Matlis duality and linear compactness.(English summary)

2003e:13016

Items with secondary classi?cations in13C13

Albrecht,Ulrich(with Giovannitti,Anthony J.;Goeters,H.Patrick)A class of torsion-

free abelian groups characterized by the ranks of their socles.(English summary)

2003e:20060

Giovannitti,Anthony J.see Albrecht,Ulrich et al.,2003e:20060

Goeters,H.Patrick see Albrecht,Ulrich et al.,2003e:20060

Kle??ner,G.B.Polyvectors of rank2over?elds and commutative rings.(Russian.Russian

summary)2003d:15036

Rangaswamy,K.M.On torsion-free modules over valuation domains.(English summary)

2003b:13024

Rashid,Laila E.M.Sub-adjoint ideals and hyperplane sections.(English summary)

2003m:14010

R¨o mer,Tim Homological properties of bigraded algebras.(English summary)

2003d:13015

Zanardo,Paolo Modules over Archimedean valuation domains and the problem of

bounded module type.2003b:13002

13C14Cohen-Macaulay modules[see also13H10]

Herzog,J¨u rgen(with Sbarra,Enrico)Sequentially Cohen-Macaulay modules and local

cohomology.2003i:13016

Huneke,Craig(with Leuschke,Graham J.)Two theorems about maximal Cohen-

Macaulay modules.(English summary)2003j:13011

Kang,Ming-Chang Addendum to:“Almost Cohen-Macaulay modules”[Comm.Algebra

29(2001),no.2,781–787;MR2002e:13028].2003a:13008

Laza,Radu(with O’Carroll,Liam;Popescu,Dorin)Maximal Cohen-Macaulay modules

over Y3

1+···+Y3n with few generators.(English summary)2003a:13009

(with P?ster,Gerhard;Popescu,Dorin)Maximal Cohen-Macaulay modules over the cone of an elliptic curve.(English summary)2003k:13012

Leuschke,Graham J.Gorenstein modules,?nite index,and?nite Cohen-Macaulay type. (English summary)2003a:13010

see also Huneke,Craig,2003j:13011

Nishida,Kenji Cohen-Macaulay isolated singularities with a dualizing module.(see 2003c:16001)

O’Carroll,Liam see Laza,Radu et al.,2003a:13009

P?ster,Gerhard see Laza,Radu et al.,2003k:13012

Popescu,Dorin see Laza,Radu et al.,2003a:13009and2003k:13012

Sbarra,Enrico see Herzog,J¨u rgen,2003i:13016

Items with secondary classi?cations in13C14

H¨u bl,Reinhold(with Swanson,Irena)Normal cones of monomial primes.(English summary)2003k:13005

Le Thanh Nhan see Nguy??e nTu.’Cu’`o’ng et al.,2003f:13018

NguyenThai Hoa see Nguy??e nTu.’Cu’`o’ng et al.,2003f:13018

Nguy??e nTu.’Cu’`o’ng(with Nguyen Thai Hoa;Le Thanh Nhan)On modules whose local cohomology modules have generalized Cohen-Macaulay Matlis duals.(English summary)2003f:13018

Simon,Anne-Marie(with Strooker,Jan R.)Reduced Bass numbers,Auslander’s -invariant and certain homological conjectures.(English summary)2003j:13018 Strooker,JanR.see Simon,Anne-Marie,2003j:13018

Swanson,Irena see H¨u bl,Reinhold,2003k:13005

13C15Dimension theory,depth,related rings(catenary,etc.) Bouchiba,Samir(with Dobbs,David E.;Kabbaj,Salah-Eddine)On the prime ideal structure of tensor products of algebras.(English summary)2003h:13015 Brenner,Holger On superheight conditions for the a?neness of open subsets.(English summary)2003a:13011

Dobbs,David E.see Bouchiba,Samir et al.,2003h:13015Jarboui,No?o man(with Y engui,Ihsen)Absolutely S-domains and pseudo-polynomial rings.(English summary)2003i:13017

Kabbaj,Salah-Eddine see Bouchiba,Samir et al.,2003h:13015

L¨u,Rencai(with Tang,Zhongming)The f-depth of an ideal on a module.(English summary)2003g:13009

Man,Shing Hing(with Smith,Patrick F.)On chains of prime submodules.(English summary)2003d:13010

Smith,Patrick F.see Man,Shing Hing,2003d:13010

Tang,Zhongming see L¨u,Rencai,2003g:13009

Yengui,Ihsen On questions related to saturated chains of primes in polynomial rings.

(English summary)2003k:13013

see also Jarboui,No?o man,2003i:13017

Items with secondary classi?cations in13C15

Amberg,Bernhard(with Kazarin,Lev)Commutative nilpotent p-algebras with small dimension.2003k:13002

BenNasr,M abrouk Some remarks on residually algebraic pairs of rings.(English summary)2003d:13005

(with Jarboui,No?oman)Intermediate domains between a domain and some intersection of its localizations.(English and Italian summaries)2003j:13008

Brodmann,Markus P.(with Sharp,Rodney Y.)On the dimension and multiplicity of local cohomology modules.(English summary)2003g:13022

Christensen,Lars Winther Sequences for complexes.II.2003j:13019

Faridi,Sara The facet ideal of a simplicial complex.(English summary)2003k:13027 Flenner,Hubert(with Manaresi,Mirella)Equimultiplicity and equidimensionality of normal cones.2003a:13029

Florenz,Mark(with Kunvipusilkul,Davina;Yang,Junghee)Constructing chains of excellent rings with local generic formal?bers.(English summary)2003f:13024 Ghezzi,Laura On the depth of the associated graded ring of an ideal.(English summary) 2003b:13004

Heinzer,William J.(with Rotthaus,Christel;Wiegand,Sylvia)Intermediate rings between

a local domain and its completion.II.(English summary)2003e:13003

Ionescu,Cristodor(with Restuccia,Gaetana)A note on P-morphisms.(English summary) 2003d:13007

Jarboui,No?o man see BenNasr,M abrouk,2003j:13008

Kang,Ming-Chang Addendum to:“Almost Cohen-Macaulay modules”[Comm.Algebra 29(2001),no.2,781–787;MR2002e:13028].2003a:13008

Kazarin,Lev see Amberg,Bernhard,2003k:13002

Kunvipusilkul,Davina see Florenz,Mark et al.,2003f:13024

Le Thanh Nhan see Nguy??e nTu.’Cu’`o’ng,2003h:13024

Manaresi,Mirella see Flenner,Hubert,2003a:13029

Marcelo Vega,Agust′?n(with Marcelo Wirnitzer,F′e lix;Rodr′?guez Mielgo,C′e sar)The grade conjecture and the S2condition.(English summary)2003e:13025

Marcelo Wirnitzer,F′e lix see Marcelo Vega,Agust′?net al.,2003e:13025

Nguy??e nTu.’Cu’`o’ng(with Le Thanh Nhan)On the Noetherian dimension of Artinian modules.(English summary)2003h:13024

Restuccia,Gaetana see Ionescu,Cristodor,2003d:13007

Rodr′?guez Mielgo,C′e sar see Marcelo Vega,Agust′?net al.,2003e:13025

Rotthaus,Christel see Heinzer,William J.et al.,2003e:13003

Sather-Wagsta?,Sean Intersections of symbolic powers of prime ideals.(English summary)2003c:13017

Sharp,Rodney Y.see Brodmann,Markus P.,2003g:13022

Wang,Hsin-Ju On the associated graded rings of ideals of Cohen-Macaulay rings.

2003b:13006

Wiegand,Sylvia see Heinzer,William J.et al.,2003e:13003

Yang,Junghee see Florenz,Mark et al.,2003f:13024

13C20Class groups[see also11R29]

Anderson,David F.The class group and local class group of an integral domain.

2003b:13015

El Baghdadi,Sa¨?d On the class group of a pullback.(English summary)2003d:13011 (with Izelgue,L.;Kabbaj,Salah-Eddine)On the class group of a graded domain.

(English summary)2003d:13012

Izelgue,L.see El Baghdadi,Sa¨?d et al.,2003d:13012

Kabbaj,Salah-Eddine see El Baghdadi,Sa¨?d et al.,2003d:13012

Tornar′?a,Gonzalo The Sylow2-subgroup of the ideal class group in a real quadratic order.

(Spanish.Spanish summary)2003f:13010

Items with secondary classi?cations in13C20

Feng,Ke Qin see M a,LianRon g,2003g:11133

Gabelli,Stefania(with Houston,Evan)Ideal theory in pullbacks.2003a:13001 Hassler,Wolfgang Factorization properties of Krull monoids with in?nite class group.

(English summary)2003c:20072

Heinzer,William J.(with Li,Aihua1;Ratli?,Louis J.,Jr.;Rush,David E.)Monoidal extensions of a Cohen-Macaulay unique factorization domain.(English summary) 2003d:13017

Houston,Evan see Gabelli,Stefania,2003a:13001

Li,Aihua1see Heinzer,William J.et al.,2003d:13017

M a,LianRon g(with Feng,Ke Qin)On imaginary quadratic function?elds with ideal class group of exponent≤2.(Chinese.English and Chinese summaries)2003g:11133 Oda,Susumu(with Y oshida,Ken-ichi1)On units of an anti-integral extension R[α]and conditions for an linear fractional transformation ofαto satisfy R[ ]=R[α].(English summary)2003g:13006

¨Ozbudak,Ferruh A note on divisor class groups of degree zero of algebraic function?elds over?nite?elds.(English summary)2003m:11194

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003d:13017

Replogle,Daniel R.(with Underwood,Robert Gene)Nontrivial tame extensions over Hopf orders.2003d:11163

Rush,David E.see Heinzer,William J.et al.,2003d:13017

COMMUTATIVE RINGS AND ALGEBRAS

13C202003308

Underwood,Robert Gene see Replogle,Daniel R.,2003d:11163

Yoshida,Ken-ichi1see Oda,Susumu,2003g:13006

13C40Linkage,complete intersections and determinantal ideals [see also14M06,14M10,14M12]

Aparicio Pedre?n o,J.J.Linear equations and commutative rings.(Spanish)2003j:13012

B?a et?ic?a,C.F-rationality of algebras de?ned by Pfa?ans.(English summary)2003a:13012 Bruns,Winfried(with Conca,Aldo)Algebras of minors.2003a:13013

Conca,Aldo see Bruns,Winfried,2003a:13013

De Negri,Emanuela Some results on Hilbert series and a-invariant of Pfa?an ideals. 2003b:13016

Di Gennaro,Roberta On curves on rational normal scrolls.(English summary)

M igliore,JuanC.(with Nagel,Uwe)Monomial ideals and the Gorenstein liaison class of a complete intersection.(English summary)2003g:13010

Nagel,Uwe see M igliore,JuanC.,2003g:13010

Zaare-Nahandi,Rahim On the ideals of minors of pluri-circulant matrices.(English summary)2003i:13018

Items with secondary classi?cations in13C40

Barile,Margherita(with Morales,Marcel;Thoma,Apostolos)Set-theoretic complete intersections on binomials.(English summary)2003f:14058

Bauer,Ingrid C.(with Catanese,Fabrizio;Pignatelli,Roberto)Canonical rings of surfaces whose canonical system has base points.2003m:14057

Casanellas,M.GLICCI versus GLICOG.(English summary)

(with Mir′o-Roig,Rosa Maria)On the Lazarsfeld-Rao property for Gorenstein liaison classes.(English summary)2003m:14074

Catanese,Fabrizio see Bauer,Ingrid C.et al.,2003m:14057

Choi,EunJ.(with Kim,Y oung Hie;Kyoung,Il H.;Won,Seung J.)On the homology of Schur complexes.(English summary)2003g:13016

Dutta,S.P.On modules of?nite projective dimension over complete intersections.(English summary)2003j:13016

Ghorpade,Sudhir R.Hilbert functions of ladder determinantal varieties.(English summary)2003e:13026

Hauschild,Volker Discriminants,resultants and a conjecture of S.Halperin.(English summary)2003h:55018

Kim,Young Hie see Choi,EunJ.et al.,2003g:13016

Kyoung,Il H.see Choi,EunJ.et al.,2003g:13016

M igliore,JuanC.(with Nagel,Uwe)Reduced arithmetically Gorenstein schemes with prescribed properties.(English summary)2003g:13020

Mir′o-Roig,Rosa Maria Gorenstein liaison.(English summary)2003g:14066

see also Casanellas,M.,2003m:14074

Morales,Marcel see Barile,Margherita et al.,2003f:14058

Nagel,Uwe see M igliore,JuanC.,2003g:13020

Otwinowska,Anna Sur la fonction de Hilbert des alg`e bres gradu′e es de dimension0.[On the Hilbert function of zero-dimensional graded algebras]2003k:13018

Pignatelli,Roberto see Bauer,Ingrid C.et al.,2003m:14057

Thoma,Apostolos see Barile,Margherita et al.,2003f:14058

Won,Seung J.see Choi,EunJ.et al.,2003g:13016

Items listed otherwise than by author

Liaisonan d related topics Liaison and related topics.

Turin Liaison and related topics.

13C99None of the above,but in this section

Kato,Kiriko Stable module theory with kernels.2003e:13017

Keet,Arnold Decomposition of a higher degree form.(English summary)2003j:13013 Luo,Zhong Xuan Generator basis of module in K[X]m and its applications.(Chinese. English and Chinese summaries)2003a:13014

Yue,Qin On certain modules whose endomorphism rings are semi-perfect.(Chinese. English and Chinese summaries)

Items with secondary classi?cations in13C99

Anderson,D.D.(with Dumitrescu,Tiberiu)S-Noetherian rings.(English summary) 2003i:13026

Bijan-Zadeh,Mohammad H.(with Rasoulyar,S.)Torsion theory,co-Cohen-Macaulay and local homology.(English summary)2003k:13017

Dumitrescu,Tiberiu see Anderson,D.D.,2003i:13026

Mesablishvili,Bachuki On some properties of pure morphisms of commutative rings. (English summary)2003c:13007

Pillai,Harish K.(with Wood,Je?rey James;Rogers,Eric)On homomorphisms of n-D behaviors.(English summary)2003d:93006

Rahimi,Amir M.Euclidean modules.(English summary)2003g:13023

Rasoulyar,S.see Bijan-Zadeh,Mohammad H.,2003k:13017

Rogers,Eric see Pillai,Harish K.et al.,2003d:93006

Wood,Je?rey James see Pillai,Harish K.et al.,2003d:93006

13Dxx Homological methods{For noncommutative

rings,see16Exx;for general categories,see

18Gxx.}

Items with secondary classi?cations in13Dxx

Eisenbud,David Projective geometry and homological algebra.13D02Syzygies and resolutions

Albano,Giovannina(with La Scala,Roberto)Koszul Syzygies and sparse matrices for the computation of the linear strands.(English summary)2003i:13019

Ballico,Edoardo On the minimal free resolution of?nite subsets of projective curves.

(English summary)2003h:13016

Batzies,E.(with Welker,Volkmar)Discrete Morse theory for cellular resolutions.(English summary)2003b:13017

Benediktovich,I.I.The resolvent of a Veronese curve.(Russian.English and Russian summaries)2003i:13020

Briales Morales,Emilio(with Pis′on Casares,Pilar;Vigneron-Tenorio,Alberto)Bounds for the regularity of a lattice ideal.(Spanish.Spanish summary)(see2003a:00034) Chardin,Marc(with Gasharov,Vesselin;Peeva,Irena)Maximal Betti numbers.(English summary)2003b:13018

Conca,Aldo(with Ng?o Vi.?e t Trung;Valla,Giuseppe)Koszul property for points in projective spaces.(English summary)2003b:13019

Universally Koszul algebras de?ned by monomials.2003e:13018

Derksen,Harm(with Sidman,Jessica)A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements.(English summary)2003m:13013

Diaz,StevenP.(with Geramita,Anthony V.;Migliore,Juan C.)Resolutions of subsets of ?nite sets of points in projective space.(English summary)2003b:13020

Eisenbud,David(with Popescu,Sorin;Schreyer,Frank-Olaf;Walter,Charles H.)Exterior algebra methods for the minimal resolution conjecture.(English summary)2003e:13019 Estrada,Mario E.On a theorem of Fr¨oberg and saturated graphs.(Spanish.English and Spanish summaries)2003g:13011

Gasharov,Vesselin(with Peeva,Irena;Welker,Volkmar)Coordinate subspace arrange-ments and monomial ideals.(English summary)2003c:13011

(with Hibi,Takayuki;Peeva,Irena)Resolutions of a-stable ideals.(English summary) 2003j:13014

see also Chardin,Marc et al.,2003b:13018

Geramita,Anthony V.see Diaz,StevenP.et al.,2003b:13020

Hashemi,Amir see Rahmati,Farhad,2003e:13021

Herzog,J¨u rgen Generic initial ideals and graded Betti numbers.2003b:13021 (with Takayama,Yukihide)Resolutions by mapping cones.(English summary)

2003k:13014

Hibi,Takayuki see Gasharov,Vesselinet al.,2003j:13014

Johansson,Leif(with Lambe,Larry A.;Sk¨oldberg,Emil)On constructing resolutions over the polynomial.(English summary)2003h:13017

Lambe,Larry A.see Johansson,Leif et al.,2003h:13017

La Scala,Roberto see Albano,Giovannina,2003i:13019

M igliore,JuanC.(with Mir′o-Roig,Rosa Maria)On the minimal free resolution of n+1 general forms.(English summary)2003e:13020

see also Diaz,StevenP.et al.,2003b:13020

Miller,Ezra Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions.(English summary)2003a:13015

Mir′o-Roig,Rosa Maria see M igliore,JuanC.,2003e:13020

Ng?o Vi.?e t Trung Evaluations of initial ideals and Castelnuovo-Mumford regularity.(English summary)2003b:13022

see also Conca,Aldo et al.,2003b:13019

Novik,Isabella(with Postnikov,A.E.;Sturmfels,Bernd)Syzygies of oriented matroids.

(English summary)2003b:13023

Peeva,Irena Resolutions and lattices.(English summary)2003f:13011

see also Chardin,Marc et al.,2003b:13018;Gasharov,Vesselinet al.,2003c:13011and 2003j:13014

Pis′o nCasares,Pilar The short resolution of a lattice ideal.(English summary) 2003j:13015

see also Briales Morales,Emilio et al.,(2003a:00034)

Popescu,Sorin see Eisenbud,David et al.,2003e:13019

Postnikov,A.E.see Novik,Isabella et al.,2003b:13023

Rahmati,Farhad(with Hashemi,Amir)A note on the Fitting ideals in free resolutions.

(English summary)2003e:13021

Reiner,Victor(with Welker,Volkmar)Linear syzygies of Stanley-Reisner ideals.(English summary)2003a:13016

R¨o mer,Tim Bounds for Betti numbers.(English summary)2003g:13012

Rubei,Elena On syzygies of Segre embeddings.(English summary)2003g:13013 Schreyer,Frank-Olaf see Eisenbud,David et al.,2003e:13019

Sidman,Jessica see Derksen,Harm,2003m:13013

Sk¨o ldberg,Emil see Johansson,Leif et al.,2003h:13017

Sturmfels,Bernd see Novik,Isabella et al.,2003b:13023

Takayama,Yukihide see Herzog,J¨u rgen,2003k:13014

Valla,Giuseppe see Conca,Aldo et al.,2003b:13019

Vigneron-Tenorio,Alberto see Briales Morales,Emilio et al.,(2003a:00034)

Walter,Charles H.see Eisenbud,David et al.,2003e:13019

Welker,Volkmar see Reiner,Victor,2003a:13016;Batzies,E.,2003b:13017and Gasharov, Vesselinet al.,2003c:13011

Items with secondary classi?cations in13D02

Aprodu,Marian On the vanishing of higher syzygies of curves.2003h:14011 Asadollahi,J.(with Khashyarmanesh,K.;Salarian,Sh.)On the minimal?at resolutions of modules.2003h:13012

Avramov,Luchezar L.(with Grayson,Daniel R.)Resolutions and cohomology over complete intersections.

Ballico,Edoardo Embeddings of unreduced curves in projective spaces:postulation and minimal free resolution.(English summary)2003a:14071

Bertin,Marie-Am′e lie On the regularity of varieties having an extremal secant line.(English summary)2003h:14078

Bonanzinga,Vittoria Lexsegment ideals in the exterior algebra.2003b:13001

Buckles,Mark(with Guardo,Elena;Van Tuyl,Adam)Fat points on a grid in P2.(English summary)2003f:14057

(with Guardo,Elena;Van Tuyl,Adam)Fat points on a generic almost complete

intersection.(English summary)2003e:14039

13D Homological methods

309200313D22

Chardin,Marc(with Moreno-Soc′?as,Guillermo)Regularity of lex-segment ideals:some closed formulas and applications.(English summary)2003m:13014

DeFrancisco-Iribarren,A.(with Hermida-Alonso,Jos′e A.)A criterion for exactness of a complex of length two.2003j:13020

Fr¨o berg,R.(with Loefwall,Clas)Koszul homology and Lie algebras with application to generic forms and points.(English summary)2003g:13018

Galindo Pastor,Carlos On the structure of the value semigroup of a valuation.(English summary)2003h:13002

Grayson,Daniel R.see Avramov,Luchezar L.

Guardo,Elena see Buckles,Mark et al.,2003e:14039and2003f:14057

Harbourne,Brian Problems and progress:a survey on fat points in P2.(English summary) 2003f:13032

Harima,Tadahito On Hilbert functions and Betti numbers of some Artinian Gorenstein rings.(see2002k:14002)

Hermida-Alonso,Jos′e A.see DeFrancisco-Iribarren,A.,2003j:13020

Kemper,Gregor Loci in quotients by?nite groups,pointwise stabilizers and the Buchs-baum property.(English summary)2003i:13006

Khashyarmanesh,K.see Asadollahi,J.et al.,2003h:13012

Leuschke,Graham J.Gorenstein modules,?nite index,and?nite Cohen-Macaulay type. (English summary)2003a:13010

Loefwall,Clas see Fr¨o berg,R.,2003g:13018

M igliore,JuanC.(with Nagel,Uwe)Reduced arithmetically Gorenstein schemes with prescribed properties.(English summary)2003g:13020

Miller,Ezra Planar graphs as minimal resolutions of trivariate monomial ideals.(English summary)2003d:05055

Moreno-Soc′?as,Guillermo see Chardin,Marc,2003m:13014

Nagel,Uwe see M igliore,JuanC.,2003g:13020

Naito,Hirotsugu Minimal free resolution of curves of degree6or lower in the3-dimensional projective space.2003f:14029

Ng,Kok Onn The classi?cation of(3,3,4)trilinear forms.(English summary)

2003m:14073

Novik,Isabella Lyubeznik’s resolution and rooted complexes.(English summary)

2003j:13021

Payrovi,Sh.Structure of the?at covers of Artinian modules.(English summary)

2003f:13009

Pearson,Kelly Jeanne The vanishing of the cohomology of the Orlik-Solomon algebras. (English summary)2003c:52036

Presser,Kimberly J.Lex-segment ideals and the maximal growth of Hilbert functions. (English summary)2003j:13022

Rubei,Elena A strange example on Property N p.(English summary)2003d:14009 Salarian,Sh.see Asadollahi,J.et al.,2003h:13012

Shakin,D.A.I-stable ideals.(Russian.Russian summary)2003g:13024

VanTuyl,Adam see Buckles,Mark et al.,2003e:14039and2003f:14057

Vettori,Paolo(with Zampieri,Sandro)Module theoretic approach to controllability of convolutional systems.(English summary)2003e:93008

Zaare-Nahandi,Rahim On the ideals of minors of pluri-circulant matrices.(English summary)2003i:13018

Zampieri,Sandro see Vettori,Paolo,2003e:93008

13D03(Co)homology of commutative rings and algebras(e.g., Hochschild,Andr′e-Quillen,cyclic,dihedral,etc.)

Andr′e,Michel Variante molle du complexe cotangent.[Soft variant of the cotangent complex]2003i:13021

Avramov,Luchezar L.(with Iyengar,Srikanth)Homological criteria for regular homomor-phisms and for locally complete intersection homomorphisms.2003k:13015

The work of Jan-Erik Roos on the cohomology of commutative rings.(English summary) 2003f:13012

Basterra,Maria(with McCarthy,Randy)Γ-homology,topological Andr′e-Quillen homology and stabilization.(English summary)2003d:13013

Iyengar,Srikanth see Avramov,Luchezar L.,2003k:13015

McCarthy,Randy see Basterra,Maria,2003d:13013

Richter,Birgit An Atiyah-Hirzebruch spectral sequence for topological Andr′e-Quillen homology.(English summary)2003c:13012

(Roos,Jan-Erik)see Avramov,Luchezar L.,2003f:13012

Turner,James M.On simplicial commutative algebras with Noetherian homotopy. (English summary)2003i:13022

Items listed otherwise than by author

Bibliography:

Roos,Jan-Erik see Avramov,Luchezar L.,2003f:13012

Items with secondary classi?cations in13D03

Kalai,Gil Algebraic shifting.(English summary)2003e:52024

Richter,Birgit Taylorapproximationen und kubische Konstruktionen vonΓ-Moduln. (German.German summary)[Taylor approximations and cubic constructions ofΓ-modules]2003h:55027

13D05Homological dimension

Christensen,Lars Winther(with Foxby,Hans-Bj?rn;Frankild,Anders)Restricted homological dimensions and Cohen-Macaulayness.(English summary)2003e:13022 Dutta,S.P.On modules of?nite projective dimension over complete intersections.(English summary)2003j:13016

Foxby,Hans-Bj?rn see Christensen,Lars Winther et al.,2003e:13022

Frankild,Anders see Christensen,Lars Winther et al.,2003e:13022

Goto,Shiro(with Hayasaka,Futoshi)Finite homological dimension and primes associated to integrally closed ideals.(English summary)2003g:13014

Hayasaka,Futoshi see Goto,Shiro,2003g:13014

Khatami,Leila see Yassemi,Siamak et al.,2003f:13013Rangaswamy,K.M.On torsion-free modules over valuation domains.(English summary) 2003b:13024

Sharif,Tirdad see Yassemi,Siamak et al.,2003f:13013

Takahashi,Ryo(with Y oshino,Yuji)Looking at homological dimensions through Frobenius map.(see2003k:16001)

Veliche,Oana Construction of modules with?nite homological dimensions.(English summary)2003e:13023

Vetter,Udo Linear forms on modules of projective dimension one.2003a:13017 Yassemi,Siamak(with Khatami,Leila;Sharif,Tirdad)A generalization of the grade of a module.(English summary)2003f:13013

Yoshino,Yuji see Takahashi,Ryo,(2003k:16001)

Items with secondary classi?cations in13D05

Avramov,Luchezar L.(with Martsinkovsky,Alex)Absolute,relative,and Tate cohomology of modules of?nite Gorenstein dimension.2003g:16009

Divaani-Aazar,K.(with Naghipour,R.;Tousi,M.)Cohomological dimension of certain algebraic varieties.(English summary)2003j:13023

Enochs,Edgar E.(with Kim,Hae-Sik;Song,Y eong-Moo)Injective covers over com-mutative Noetherian rings with global dimension at most two.(English summary)

2003k:13016

Kim,Hae-Sik see Enochs,Edgar E.et al.,2003k:13016

Leuschke,Graham J.Gorenstein modules,?nite index,and?nite Cohen-Macaulay type.

(English summary)2003a:13010

Martsinkovsky,Alex see Avramov,Luchezar L.,2003g:16009

Naghipour,R.see Divaani-Aazar,K.et al.,2003j:13023

Song,Yeong-Moo see Enochs,Edgar E.et al.,2003k:13016

Tousi,M.see Divaani-Aazar,K.et al.,2003j:13023

13D07Homological functors on modules(Tor,Ext,etc.) Avramov,Luchezar L.Homotopy Lie algebras and Poincar′e series of algebras with monomial relations.(English summary)2003e:13024

Eklof,Paul C.(with Shelah,Saharon)Whitehead modules over large principal ideal domains.(English summary)2003f:13014

Enochs,Edgar E.(with Kim,Hae-Sik;Song,Y eong-Moo)Injective covers over com-mutative Noetherian rings with global dimension at most two.(English summary)

2003k:13016

Kim,Hae-Sik see Enochs,Edgar E.et al.,2003k:13016

Shelah,Saharon see Eklof,Paul C.,2003f:13014

Song,Yeong-Moo see Enochs,Edgar E.et al.,2003k:13016

Items with secondary classi?cations in13D07

Avramov,Luchezar L.(with Grayson,Daniel R.)Resolutions and cohomology over complete intersections.

Bazzoni,S.(with Salce,Luigi)Strongly?at covers.(English summary)2003g:13008 Dutta,S.P.On modules of?nite projective dimension over complete intersections.(English summary)2003j:13016

Grayson,Dan iel R.see Avramov,Luchezar L.

Huneke,Craig(with Leuschke,Graham J.)Two theorems about maximal Cohen-Macaulay modules.(English summary)2003j:13011

Leuschke,Graham J.see Huneke,Craig,2003j:13011

Salce,Luigi see Bazzoni,S.,2003g:13008

Trlifaj,Jan(with Wallutis,Simone L.)Tilting modules over small Dedekind domains.

(English summary)2003b:13029

Wallutis,Simone L.see Trlifaj,Jan,2003b:13029

13D10Deformations and in?nitesimal methods[see also14B10, 14B12,14D15,32Gxx]

Martin,Bernd Algorithmic computation of?attenings and of modular deformations.

(English summary)2003h:13018

13D15Grothendieck groups,K-theory[see also14C35,18F30, 19Axx,19D50]

Kamoi,Yuji(with Kurano,Kazuhiko)On maps of Grothendieck groups induced by completion.(English summary)2003g:13015

Kurano,Kazuhiko see Kamoi,Yuji,2003g:13015

Zabavski??,B.V.Reduction of matrices over right Bezout rings with?nite stable rank.

(Ukrainian.English and Russian summaries)

Items with secondary classi?cations in13D15

Di Gennaro,Roberta On the K-theory of a?ne hyperplanes through a linear subvariety of codimension one.(English summary)2003d:14012

Feng,Liang Gui(with Lam,T.Y.)Projective modules over some Pr¨ufer rings.

2003m:13011

Lam,T.Y.see Feng,Liang Gui,2003m:13011

13D22Homological conjectures(intersection theorems)

Chan,C-Y.Jean An intersection multiplicity in terms of Ext-modules.(English summary) 2003a:13018

Marcelo Vega,Agust′?n(with Marcelo Wirnitzer,F′e lix;Rodr′?guez Mielgo,C′e sar)The grade conjecture and the S2condition.(English summary)2003e:13025

Marcelo Wirnitzer,F′e lix see Marcelo Vega,Agust′?net al.,2003e:13025

Roberts,Paul C.(with Srinivas,Vasudevan)Modules of?nite length and?nite projective dimension.2003j:13017

Rodr′?guez Mielgo,C′e sar see Marcelo Vega,Agust′?net al.,2003e:13025

Simon,Anne-Marie(with Strooker,Jan R.)Reduced Bass numbers,Auslander’s -invariant and certain homological conjectures.(English summary)2003j:13018

COMMUTATIVE RINGS AND ALGEBRAS

13D222003310

Srinivas,Vasudevan see Roberts,Paul C.,2003j:13017

Strooker,JanR.see Simon,Anne-Marie,2003j:13018

Items with secondary classi?cations in13D22

Kurano,Kazuhiko(with Singh,Anurag K.)Todd classes of a?ne cones of Grassmannians. 2003g:14004

Roberts,Paul C.Intersection multiplicities and dimension inequalities.2003j:13034 Singh,Anurag K.see Kurano,Kazuhiko,2003g:14004

13D25Complexes

Choi,EunJ.(with Kim,Y oung Hie;Kyoung,Il H.;Won,Seung J.)On the homology of Schur complexes.(English summary)2003g:13016

Christensen,Lars Winther Sequences for complexes.II.2003j:13019

DeFrancisco-Iribarren,A.(with Hermida-Alonso,Jos′e A.)A criterion for exactness of a complex of length two.2003j:13020

Fresse,Benoit Structures de Poisson sur une intersection compl`e te`a singularit′e s isol′e es. (English and French summaries)[Poisson structures over a complete intersection with isolated singularities]2003g:13017

Fr¨o berg,R.(with Loefwall,Clas)Koszul homology and Lie algebras with application to generic forms and points.(English summary)2003g:13018

Hermida-Alonso,Jos′e A.see DeFrancisco-Iribarren,A.,2003j:13020

Kim,Young Hie see Choi,EunJ.et al.,2003g:13016

Kyoung,Il H.see Choi,EunJ.et al.,2003g:13016

Loefwall,Clas see Fr¨o berg,R.,2003g:13018

Novik,Isabella Lyubeznik’s resolution and rooted complexes.(English summary)

2003j:13021

Won,Seung J.see Choi,EunJ.et al.,2003g:13016

Items with secondary classi?cations in13D25

Bivi`a-Ausina,Carles(with Fukui,Toshizumi;Saia,Marcelo Jos′e)Newton?ltrations, graded algebras and codimension of non-degenerate ideals.(English summary)

2003e:32046

Bonanzinga,Vittoria Lexsegment ideals in the exterior algebra.2003b:13001 Christensen,Lars Winther(with Foxby,Hans-Bj?rn;Frankild,Anders)Restricted homological dimensions and Cohen-Macaulayness.(English summary)2003e:13022 Decker,Wolfram(with Eisenbud,David)Sheaf algorithms using the exterior algebra. Eisenbud,David see Decker,Wolfram

Foxby,Hans-Bj?rn see Christensen,Lars Winther et al.,2003e:13022

Frankild,Anders see Christensen,Lars Winther et al.,2003e:13022

Fukui,Toshizumi see Bivi`a-Ausina,Carles et al.,2003e:32046

Giraldo,Luis(with G′omez-Mont,Xavier)A law of conservation of number for local Euler characteristics.2003k:14016

G′o mez-Mont,Xavier see Giraldo,Luis,2003k:14016

Kato,Kiriko Stable module theory with kernels.2003e:13017

Khatami,Leila see Yassemi,Siamak et al.,2003f:13013

Miller,Ezra Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions.(English summary)2003a:13015

Saia,Marcelo Jos′e see Bivi`a-Ausina,Carles et al.,2003e:32046

Sharif,Tirdad see Yassemi,Siamak et al.,2003f:13013

Yassemi,Siamak(with Khatami,Leila;Sharif,Tirdad)A generalization of the grade of a module.(English summary)2003f:13013

13D30Torsiontheory[see also13C12,18E40]

Bijan-Zadeh,Mohammad H.(with Rasoulyar,S.)Torsion theory,co-Cohen-Macaulay and local homology.(English summary)2003k:13017

Rasoulyar,S.see Bijan-Zadeh,Mohammad H.,2003k:13017

13D40Hilbert-Samuel and Hilbert-Kunz functions;Poincar′e series

Assane,Abdoulaye Sur le comportement asymptotique de la fonction de Hilbert du

c?one?br′e d’une?ltration fortement noeth′e rienne et la conjecture de Okon.(English summary)[Asymptotic behavior of the Hilbert function of the?ber cone of a strongly Noetherian?ltration and Okon’s conjecture]2003g:13019

Ballico,Edoardo(with Cossidente,Antonio)Hilbert function of quadrics over?nite?elds. (English summary)2003h:13019

Beccari,Giannina see Massaza,Carla,2003f:13015

Chandler,Karen A.Linear systems of cubics singular at general points of projective space. (English summary)2003i:13023

Chardin,Marc(with Moreno-Soc′?as,Guillermo)Regularity of lex-segment ideals:some closed formulas and applications.(English summary)2003m:13014

Cossidente,Antonio see Ballico,Edoardo,2003h:13019

Eto,Kazufumi Multiplicity and Hilbert-Kunz multiplicity of monoid rings.2003m:13015 Fields,J.Bruce Lengths of Tors determined by killing powers of ideals in a local ring. (English summary)2003a:13019

Ghorpade,Sudhir R.Hilbert functions of ladder determinantal varieties.(English summary)2003e:13026

Harima,Tadahito On Hilbert functions and Betti numbers of some Artinian Gorenstein rings.(see2002k:14002)

Massaza,Carla(with Beccari,Giannina)A new approach to the Hilbert function of a0-dimensional projective scheme.(English summary)2003f:13015

M igliore,JuanC.(with Nagel,Uwe)Reduced arithmetically Gorenstein schemes with prescribed properties.(English summary)2003g:13020

Moreno-Soc′?as,Guillermo see Chardin,Marc,2003m:13014

Nagel,Uwe see M igliore,JuanC.,2003g:13020

Otwinowska,Anna Sur la fonction de Hilbert des alg`e bres gradu′e es de dimension0.[On the Hilbert function of zero-dimensional graded algebras]2003k:13018PhanVanThien Sharp upper bound for the regularity of zero-schemes of double points in P4.(English summary)2003i:13024

Presser,Kimberly J.Lex-segment ideals and the maximal growth of Hilbert functions.

(English summary)2003j:13022

Renteln,Paul The Hilbert series of the face ring of a?ag complex.(English summary) 2003i:13025

Sabadini,Irene A note on the Hilbert scheme of curves of degree d and genus

d?3

2

?1.

(English summary)

Sabourin,L.n-type vectors and the Cayley-Bacharach property.(English summary) 2003f:13016

Srinivas,Vasudevan Some geometric methods in commutative algebra.2003a:13020 Items with secondary classi?cations in13D40

Avramov,Luchezar L.The work of Jan-Erik Roos on the cohomology of commutative rings.(English summary)2003f:13012

Homotopy Lie algebras and Poincar′e series of algebras with monomial relations.

(English summary)2003e:13024

Buckles,Mark(with Guardo,Elena;Van Tuyl,Adam)Fat points on a grid in P2.(English summary)2003f:14057

(with Guardo,Elena;Van Tuyl,Adam)Fat points on a generic almost complete

intersection.(English summary)2003e:14039

Catalisano,M.V.(with Geramita,Anthony V.;Gimigliano,A.)Ranks of tensors,secant varieties of Segre varieties and fat points.(English summary)2003g:14070

(with Geramita,Anthony V.;Gimigliano,A.)Erratum to:“Ranks of tensors,secant varieties of Segre varieties and fat points”[Linear Algebra Appl.355(2002),263–285;

MR2003g:14070].(English summary)

Chardin,Marc(with Gasharov,Vesselin;Peeva,Irena)Maximal Betti numbers.(English summary)2003b:13018

Ciuperc?a,C?a t?a lin A numerical characterization of the S2-i?cation of a Rees algebra.

(English summary)2003j:13033

Conca,Aldo(with Ng?o Vi.?e t Trung;Valla,Giuseppe)Koszul property for points in projective spaces.(English summary)2003b:13019

Cossart,Vincent(with Piltant,Olivier;Reguera,Ana-Jos′e)Divisorial valuations dominating rational surface singularities.2003k:14044

D’Cruz,Clare(with Verma,J.K.)Hilbert series of?ber cones of ideals with almost minimal mixed multiplicity.(English summary)2003b:13037

De Negri,Emanuela Some results on Hilbert series and a-invariant of Pfa?an ideals.

2003b:13016

Derksen,Harm(with Weyman,Jerzy)On the Littlewood-Richardson polynomials.

(English summary)2003i:16021

Ebeling,Wolfgang Poincar′e series and monodromy of a two-dimensional quasihomoge-neous hypersurface singularity.(English summary)2003f:32036

Flenner,Hubert(with Manaresi,Mirella)Equimultiplicity and equidimensionality of normal cones.2003a:13029

Gasharov,Vesselin see Chardin,Marc et al.,2003b:13018

Geramita,Anthony V.see Catalisano,M.V.et al.,2003g:14070

Gimigliano,A.see Catalisano,M.V.et al.,2003g:14070

Guardo,Elena see Buckles,Mark et al.,2003e:14039and2003f:14057

Harbourne,Brian Problems and progress:a survey on fat points in P2.(English summary) 2003f:13032

Jayanthan,A.V.(with Verma,J.K.)Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.(English summary)2003h:13004

Kreuzer,Martin Algorithms for checking uniformity conditions and applications in coding theory.(English summary)2003c:14053

Manaresi,Mirella see Flenner,Hubert,2003a:13029

M igliore,JuanC.(with Mir′o-Roig,Rosa Maria)On the minimal free resolution of n+1 general forms.(English summary)2003e:13020

Mir′o-Roig,Rosa Maria see M igliore,JuanC.,2003e:13020

Morey,S.E.(with Vasconcelos,W.V.)Special divisors of blowup algebras.(English summary)2003c:13003

Ng?o Vi.?e t Trung see Conca,Aldo et al.,2003b:13019

Peeva,Irena(with Stillman,Michael E.)Toric Hilbert schemes.(English summary) 2003m:14008

Resolutions and lattices.(English summary)2003f:13011

see also Chardin,Marc et al.,2003b:13018

Piltant,Olivier see Cossart,Vincent et al.,2003k:14044

Reguera,Ana-Jos′e see Cossart,Vincent et al.,2003k:14044

(Roos,Jan-Erik)see Avramov,Luchezar L.,2003f:13012

Shakin,D.A.I-stable ideals.(Russian.Russian summary)2003g:13024

Stillman,Michael E.see Peeva,Irena,2003m:14008

Valla,Giuseppe see Conca,Aldo et al.,2003b:13019

VanTuyl,Adam see Buckles,Mark et al.,2003e:14039and2003f:14057

Vasconcelos,W.V.see Morey,S.E.,2003c:13003

Verma,J.K.see D’Cruz,Clare,2003b:13037and Jayanthan,A.V.,2003h:13004 Weyman,Jerzy see Derksen,Harm,2003i:16021

Items listed otherwise than by author

Bibliography:

Roos,Jan-Erik see Avramov,Luchezar L.,2003f:13012

13D45Local cohomology[see also14B15]

Brodmann,Markus P.A rigidity result for highest order local cohomology modules.

(English summary)2003g:13021

(with Hellus,M.)Cohomological patterns of coherent sheaves over projective schemes.

(English summary)2003f:13017

(with Sharp,Rodney Y.)On the dimension and multiplicity of local cohomology

modules.(English summary)2003g:13022

(with Katzman,Mordechai;Sharp,Rodney Y.)Associated primes of graded components of local cohomology modules.(English summary)2003h:13020

13F Arithmetic rings and other special rings

311200313Fxx

Divaani-Aazar,K.(with Naghipour,R.;Tousi,M.)Cohomological dimension of certain algebraic varieties.(English summary)2003j:13023

Hellus,M.see Brodmann,Markus P.,2003f:13017

Herzog,J¨u rgen(with L?e Tu′?a n Hoa;Ng?o Vi.?e t Trung)Asymptotic linear bounds for the Castelnuovo-Mumford regularity.(English summary)2003b:13025

Katzman,Mordechai An example of an in?nite set of associated primes of a local cohomology module.2003h:13021

see also Brodmann,Markus P.et al.,2003h:13020

Kawasaki,Ken-ichiroh On the highest Lyubeznik number.(English summary)2003b:13026 Khashyarmanesh,K.(with Salarian,Sh.)A?niteness result for local cohomology modules. 2003h:13022

Le Thanh Nhan see Nguy??e nTu.’Cu’`o’ng et al.,2003f:13018

L?e Tu′?a nHoa(with St¨uckrad,J¨urgen)Castelnuovo-Mumford regularity of simplicial toric rings.(English summary)2003j:13024

see also Herzog,J¨u rgenet al.,2003b:13025

Lipman,Joseph Lectures on local cohomology and duality.(English summary)

2003b:13027

Marley,Thomas(with Vassilev,Janet C.)Co?niteness and associated primes of local cohomology modules.(English summary)2003j:13025

Naghipour,R.see Divaani-Aazar,K.et al.,2003j:13023

Ng?o Vi.?e t Trung see Herzog,J¨u rgenet al.,2003b:13025

NguyenThai Hoa see Nguy??e nTu.’Cu’`o’ng et al.,2003f:13018

Nguy??e nTu.’Cu’`o’ng(with Nguyen Thai Hoa;Le Thanh Nhan)On modules whose

local cohomology modules have generalized Cohen-Macaulay Matlis duals.(English summary)2003f:13018

(with Tran Tuan Nam)On the co-localization,co-support and co-associated primes of local homology modules.(English summary)2003h:13023

Salarian,Sh.see Khashyarmanesh,K.,2003h:13022

Sharp,Rodney Y.see Brodmann,Markus P.et al.,2003g:13022and2003h:13020

Singh,Anurag K.p-torsion elements in local cohomology modules.II.2003c:13013

St¨u ckrad,J¨u rgen see L?e Tu′?a nHoa,2003j:13024

Tousi,M.see Divaani-Aazar,K.et al.,2003j:13023

TranTuanNam see Nguy??e nTu.’Cu’`o’ng,2003h:13023

Tsai,Harrison Algorithms for associated primes,Weyl closure,and local cohomology of

D-modules.2003e:13027

Vassilev,Janet C.see Marley,Thomas,2003j:13025

Yanagawa,Kohji Squarefree modules and local cohomology modules at monomial ideals. 2003d:13014

Items with secondary classi?cations in13D45

Chardin,Marc(with Philippon,Patrice)Erratum to:“Regularity and interpolation”(French)[J.Algebraic Geom.8(1999),no.3,471–481;MR2000f:14005].2003c:14005 Divaani-Aazar,K.(with Naghipour,R.;Tousi,M.)The Lichtenbaum-Hartshorne theorem for generalized local cohomology and connectedness.(English summary)2003g:14003 Giraldo,Luis(with G′omez-Mont,Xavier)A law of conservation of number for local Euler characteristics.2003k:14016

G′o mez-Mont,Xavier see Giraldo,Luis,2003k:14016

Greenlees,J.P.C.Local cohomology in equivariant topology.(English summary)

2003a:55012

Herzog,J¨u rgen(with Sbarra,Enrico)Sequentially Cohen-Macaulay modules and local cohomology.2003i:13016

(with Popescu,Dorin;Ng?o Vi.?e t Trung)Regularity of Rees algebras.2003f:13003 Huang,I-Chiau Residue methods in combinatorial analysis.(English summary)

2003b:05017

Jayanthan,A.V.(with Verma,J.K.)Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.(English summary)2003h:13004

Le Thanh Nhan see Nguy??e nTu.’Cu’`o’ng,2003h:13024

L¨u,Rencai(with Tang,Zhongming)The f-depth of an ideal on a module.(English summary)2003g:13009

Lyubeznik,Gennady A partial survey of local cohomology.2003b:14006

Morey,S.E.(with Vasconcelos,W.V.)Special divisors of blowup algebras.(English summary)2003c:13003

Naghipour,R.see Divaani-Aazar,K.et al.,2003g:14003

Ng?o Vi.?e t Trung see Herzog,J¨u rgenet al.,2003f:13003

Nguy??e nTu.’Cu’`o’ng(with Le Thanh Nhan)On the Noetherian dimension of Artinian modules.(English summary)2003h:13024

Payrovi,Sh.Structure of the?at covers of Artinian modules.(English summary)

2003f:13009

Philippon,Patrice see Chardin,Marc,2003c:14005

Popescu,Dorin see Herzog,J¨u rgenet al.,2003f:13003

Sbarra,Enrico see Herzog,J¨u rgen,2003i:13016

Sidman,Jessica On the Castelnuovo-Mumford regularity of products of ideal sheaves. (English summary)2003f:13021

Sinha,Dev P.The geometry of the local cohomology?ltration in equivariant bordism. (English summary)2003g:57056

Tang,Zhongming see L¨u,Rencai,2003g:13009

Tousi,M.see Divaani-Aazar,K.et al.,2003g:14003

Vasconcelos,W.V.see Morey,S.E.,2003c:13003

Verma,J.K.see Jayanthan,A.V.,2003h:13004

13D99None of the above,but in this section

R¨o mer,Tim Homological properties of bigraded algebras.(English summary)

2003d:13015

Items with secondary classi?cations in13D99

Brodmann,Markus P.Cohomological invariants of coherent sheaves over projective schemes:a survey.(English summary)2003b:14021

Frankild,Anders(with J?rgensen,Peter)Foxby equivalence,complete modules,and torsion modules.(English summary)2003j:16015J?rgensen,Peter see Frankild,Anders,2003j:16015

Nhi,Dam Van Specialization of graded modules.(English summary)2003e:13001

13Exx Chain conditions,?niteness conditions

13E05Noetherian rings and modules

Anderson,D.D.(with Dumitrescu,Tiberiu)S-Noetherian rings.(English summary) 2003i:13026

Ansari-Toroghy,H.M-injectivity and asymptotic behaviour.(English summary) 2003f:13019

Dumitrescu,Tiberiu see Anderson,D.D.,2003i:13026

Yao,Yongwei Primary decomposition:compatibility,independence and linear growth.

(English summary)2003a:13021

Items with secondary classi?cations in13E05

Brodmann,Markus P.A rigidity result for highest order local cohomology modules.

(English summary)2003g:13021

13E10Artinian rings and modules,?nite-dimensional algebras

Al-Khamees,Yousif see Singh,Surjeet,2003d:13016

Gorbatov,E.V.(with Nechaev,Aleksandr)Cyclic families of polylinear recurrences over quasi-Frobenius modules.(Russian)

Le Thanh Nhan Dimension and width of linearly compact modules and the co-localization of Artinian modules.(English summary)2003i:13027

see also Nguy??e nTu.’Cu’`o’ng,2003h:13024

Nechaev,Aleksandr see Gorbatov,E.V.

Nguy??e nTu.’Cu’`o’ng(with Le Thanh Nhan)On the Noetherian dimension of Artinian modules.(English summary)2003h:13024

Okon,James S.(with Rush,David E.)Generating ideals in commutative Artinian group rings and a generalized Pascal’s triangle.(English summary)2003m:13016

Rush,David E.see Okon,James S.,2003m:13016

Singh,Surjeet(with Al-Khamees,Y ousif)Socle series of a commutative Artinian ring.

(English summary)2003d:13016

Items with secondary classi?cations in13E10

Bijan-Zadeh,Mohammad H.(with Rasoulyar,S.)Torsion theory,co-Cohen-Macaulay and local homology.(English summary)2003k:13017

Goto,Shiro(with Haraikawa,Satoshi)Good ideals in Artinian Gorenstein local rings obtained by idealization.2003m:13005

Haraikawa,Satoshi see Goto,Shiro,2003m:13005

Hou,Xiang-Dong(with Leung,Ka Hin;Ma,Siu Lun)On the groups of units of?nite commutative chain rings.(English summary)2003m:13023

Leung,Ka Hin see Hou,Xiang-Dong et al.,2003m:13023

Ma,Siu Lun see Hou,Xiang-Dong et al.,2003m:13023

Payrovi,Sh.Structure of the?at covers of Artinian modules.(English summary) 2003f:13009

Pusat-Yilmaz,D.(with Smith,Patrick F.)Modules which satisfy the radical formula.

(English summary)2003h:13013

Rasoulyar,S.see Bijan-Zadeh,Mohammad H.,2003k:13017

Smith,Patrick F.see Pusat-Yilmaz,D.,2003h:13013

13E15Rings and modules of?nite generation or presentation;

number of generators

Bullington,Grady D.On the expected number of generators of a submodule of a free module over a?nite special principal ideal ring.(French summary)2003b:13028 Schoutens,Hans Computing the minimal number of equations de?ning an a?ne curve ideal-theoretically.(English summary)2003i:13028

Sharif,Tirdad(with Yassemi,Siamak)Bound for numbers of generators for a class of submodules of a?nitely generated module.(English summary)2003k:13019 Yassemi,Siamak see Sharif,Tirdad,2003k:13019

Items with secondary classi?cations in13E15

Wang,Hsin-Ju Quadratic sequences and powers of ideals.2003k:13004

13E99None of the above,but in this section

Guo,Li1Ascending chain conditions in free Baxter algebras.(English summary) 2003h:13025

Heinzer,William J.(with Roitman,Moshe)The homogeneous spectrum of a graded commutative ring.(English summary)2003c:13014

Roitman,Moshe see Heinzer,William J.,2003c:13014

Items with secondary classi?cations in13E99

Aldosray,Falih A.M.(with Bashammakh,Sabah A.A.)Ring with chain conditions on small right ideals.(English summary)

Bashammakh,Sabah A.A.see Aldosray,Falih A.M.

Frohn,Daniel A counterexample concerning ACCP in power series rings.(English summary)2003h:13029

Park,Mi Hee On overrings of strong Mori domains.(English summary)2003c:13001 13Fxx Arithmetic rings and other special rings

COMMUTATIVE RINGS AND ALGEBRAS

13F052003312

13F05Dedekind,Pr¨u fer and Krull rings and their generalizations Basarab,S?erbanA.The arithmetic-arboreal residue structure of a Pr¨ufer domain.I. (English summary)2003k:13020

Chang,Gyu Whan A pinched-Krull domain at a prime ideal.(English summary)

2003h:13026

El Baghdadi,Sa¨?d On a class of Prufer v-multiplication domains.(English summary) 2003f:13020

Fuchs,L′a szl′o1(with Mosteig,Edward)Ideal theory in Pr¨ufer domains—an unconven-tional approach.(English summary)2003e:13028

Mosteig,Edward see Fuchs,L′a szl′o1,2003e:13028

Nanda,V.C.Special integral bases with restricted coe?cients for extensions of Dedekind domains.2003h:13027

Neumann,O.Was sollen und was sind Divisoren?(German summary)[What are divisors and what can we do with them?]2003k:13021

Trlifaj,Jan(with Wallutis,Simone L.)Tilting modules over small Dedekind domains. (English summary)2003b:13029

Wallutis,Simone L.see Trlifaj,Jan,2003b:13029

Wood,Melanie P-orderings:a metric viewpoint and the non-existence of simultaneous orderings.(English summary)2003k:13022

Zhang,Digen Real Pr¨ufer extensions of commutative rings.(English summary)

2003a:13022

Items with secondary classi?cations in13F05

Anderson,D.D.(with Dumitrescu,Tiberiu)Condensed domains.(English summary) 2003m:13001

Bosbach,Bruno Ideal divisibility monoids.(English summary)2003f:06005

Chang,Gyu Whan(with Park,Jeanam)Star-invertible ideals of integral domains.(English and Italian summaries)2003m:13002

Chapman,Scott T.(with Garc′?a-Garc′?a,J.I.;Garc′?a-S′a nchez,P.A.;Rosales,J.C.)On the number of factorizations of an element in an atomic monoid.(English summary) 2003i:11141

(with Loper,K.Alan;Smith,William W.)The strong two-generator property in rings of integer-valued polynomials determined by?nite sets.(English summary)2003e:13030 (with Halter-Koch,Franz;Krause,Ulrich)Inside factorial monoids and integral domains.(English summary)2003f:20104

Dobbs,David E.(with Fontana,Marco;Picavet,Gabriel)A spectral construction of a treed domain that is not going-down.(English summary)2003e:13008

Dumitrescu,Tiberiu see Anderson,D.D.,2003m:13001

Feng,Liang Gui(with Lam,T.Y.)Projective modules over some Pr¨ufer rings.

2003m:13011

Fontana,Marco see Dobbs,David E.et al.,2003e:13008

Garc′?a-Garc′?a,J.I.see Chapman,Scott T.et al.,2003i:11141

Garc′?a-S′a nchez,P.A.see Chapman,Scott T.et al.,2003i:11141

Halter-Koch,Franz see Chapman,Scott T.et al.,2003f:20104

Hassler,Wolfgang Factorization properties of Krull monoids with in?nite class group. (English summary)2003c:20072

Kang,Byung Gyun(with Park,Mi Hee)Completion of a globalized pseudo-valuation domain.(English summary)2003m:13018

Kle??ner,G.B.Polyvectors of rank2over?elds and commutative rings.(Russian.Russian summary)2003d:15036

Knebusch,Manfred(with Zhang,Digen) Manis valuations and Pr¨ufer extensions.I. (English summary)2003j:13002

Krause,Ulrich see Chapman,Scott T.et al.,2003f:20104

Lam,T.Y.see Feng,Liang Gui,2003m:13011

Loper,K.Alan see Chapman,Scott T.et al.,2003e:13030

Man,Shing Hing(with Smith,Patrick F.)On chains of prime submodules.(English summary)2003d:13010

Moˇc koˇr,Jiˇr′?Topological characterizations of ordered groups with quasi-divisor theory. (English summary)2003k:06014

Park,Jeanam see Chang,Gyu Whan,2003m:13002

Park,Mi Hee On overrings of strong Mori domains.(English summary)2003c:13001 see also Kang,Byung Gyun,2003m:13018

Pellerin,S′e bastien(with Robert,Richard)Elasticity of A+XI[X]domains where A is a Dedekind domain.(English summary)2003g:13001

Picavet,Gabriel see Dobbs,David E.et al.,2003e:13008

Puninskaya,V.A.Modules with few types over a serial ring and over a commutative Pr¨ufer ring.(English summary)2003a:16010

Robert,Richard see Pellerin,S′e bastien,2003g:13001

Rosales,J.C.see Chapman,Scott T.et al.,2003i:11141

Smith,David Andrew Gr¨obner bases in orders of algebraic number?elds.(English summary)2003c:13023

Smith,Patrick F.see Man,Shing Hing,2003d:13010

Smith,William W.see Chapman,Scott T.et al.,2003e:13030

Zhang,Digen The real holomorphy rings and the Schm¨udgen property.2003m:13021

see also Knebusch,Manfred,2003j:13002

Items listed otherwise than by author

Lecture Notes inM athematics see Knebusch,Manfred,2003j:13002

13F07Euclidean rings and generalizations

Popescu,Angel An Euclidean algorithm in K[X1,...,X n]and an application in valuation theory.(English summary)2003e:13029

Rahimi,Amir M.Euclidean modules.(English summary)2003g:13023

Romanˉ?v,O.M.see Zabavski??,B.V.,2003j:13026

Zabavski??,B.V.(with Romanˉ?v,O.M.)Commutative2-Euclidean rings.(Ukrainian. English and Russian summaries)2003j:13026

A factorial analogue of Bezout distributive domains.(Ukrainian.English and Ukrainian summaries)2003b:13030Items with secondary classi?cations in13F07

Li,Bo Tang see Yang,Chang Lan,2003k:15018

Yang,Chang Lan(with Li,Bo Tang)Right greatest common divisor of matrices over a Euclidean ring.(Chinese.English and Chinese summaries)2003k:15018

13F10Principal ideal rings

Items with secondary classi?cations in13F10

Carboni,Graciela(with Larotonda,Angel)Frechet m-convex principal ideal domains.

(English summary)2003m:46083

Eklof,Paul C.(with Shelah,Saharon)Whitehead modules over large principal ideal domains.(English summary)2003f:13014

Larotonda,Angel see Carboni,Graciela,2003m:46083

Norton,Graham H.(with Salagean-Mandache,Ana Maria)Strong Gr¨obner bases for polynomials over a principal ideal ring.(English summary)2003a:13036

Salagean-Mandache,Ana Maria see Norton,Graham H.,2003a:13036

Shelah,Saharon see Eklof,Paul C.,2003f:13014

13F15Factorial rings,unique factorization domains

[see also14M05]

Heinzer,William J.(with Li,Aihua1;Ratli?,Louis J.,Jr.;Rush,David E.)Monoidal extensions of a Cohen-Macaulay unique factorization domain.(English summary) 2003d:13017

Li,Aihua1see Heinzer,William J.et al.,2003d:13017

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003d:13017

Rush,David E.see Heinzer,William J.et al.,2003d:13017

Items with secondary classi?cations in13F15

Anderson,David F.(with Kim,Hwankoo;Park,Jeanam)Factorable domains.(English summary)2003j:13031

Kim,Hwankoo see Anderson,David F.et al.,2003j:13031

Park,Jeanam see Anderson,David F.et al.,2003j:13031

Srinivas,Vasudevan Some geometric methods in commutative algebra.2003a:13020

13F20Polynomial rings and ideals;rings of integer-valued polynomials[see also11C08,13B25]

Ballico,Edoardo Products of homogeneous forms.(English summary)2003b:13031 Banks,William D.(with Shparlinski,Igor E.)Distribution of inverses in polynomial rings.

(English summary)2003i:13029

Cerlienco,Luigi(with Mureddu,Marina)Multivariate interpolation and standard bases for Macaulay modules.(English summary)2003k:13023

Chapman,Scott T.(with Loper,K.Alan;Smith,William W.)The strong two-generator property in rings of integer-valued polynomials determined by?nite sets.(English

summary)2003e:13030

Chavarriga,Javier(with Llibre,Jaume;Moulin Ollagnier,Jean)On a result of Darboux.

(English summary)2003d:13018

Eliahou,Shalom(with Villarreal,Rafael H.)On systems of binomials in the ideal of a toric variety.(English summary)2003b:13032

van den Essen,Arno(with Nowicki,Andrzej W?adys?aw;Tyc,Andrzej)Generalizations of

a lemma of Freudenburg.(English summary)2003m:13017

Eto,Kazufumi Binomial arithmetical rank of lattice ideals.(English summary) 2003j:13027

Jarnicki,Witold(with O’Carroll,Liam;Winiarski,Tadeusz)Ideal as an intersection of zero-dimensional ideals and the Noether exponent.(English summary)2003a:13023 Jarrah,Abdul Salam Integral closures of Cohen-Macaulay monomial ideals.(English summary)2003k:13024

Laohakosol,Vichian(with Sripayap,Angkana)Remarks on k-fold integer-valued polynomials.(English summary)2003a:13024

Liu,Jung-Chen Algorithms on parametric decomposition of monomial ideals.(English summary)2003e:13031

Llibre,Jaume see Chavarriga,Javier et al.,2003d:13018

Loper,K.Alan see Chapman,Scott T.et al.,2003e:13030

May,J.Peter Munshi’s proof of the Nullstellensatz.

Mikha??lov,D.A.see Nechaev,Aleksandr,2003e:13032

Mnuk,Michal Representing graph properties by polynomial ideals.(English summary) 2003j:13028

M oulinOllagn ier,Jean see Chavarriga,Javier et al.,2003d:13018

Mureddu,Marina see Cerlienco,Luigi,2003k:13023

Nechaev,Aleksandr(with Mikha??lov,D.A.)A canonical system of generators of a unitary polynomial ideal over a commutative Artinian chain ring.(Russian.Russian summary) 2003e:13032

Nowicki,Andrzej W?adys?aw see van den Essen,Arno et al.,2003m:13017

O’Carroll,Liam see Jarnicki,Witold et al.,2003a:13023

Ojeda Mart′?nez de Castilla,Ignacio(with Piedra S′a nchez,Ram′on)Index of nilpotency of binomial ideals.(English summary)2003h:13028

Piedra S′a nchez,Ram′o n see Ojeda Mart′?nez de Castilla,Ignacio,2003h:13028

Shakin,D.A.I-stable ideals.(Russian.Russian summary)2003g:13024

Shparlinski,Igor E.see Banks,William D.,2003i:13029

Sidman,Jessica On the Castelnuovo-Mumford regularity of products of ideal sheaves.

(English summary)2003f:13021

Smith,William W.see Chapman,Scott T.et al.,2003e:13030

Sripayap,Angkana see Laohakosol,Vichian,2003a:13024

Thomas,Hugh Bounding the degrees of generators of a homogeneous dimension2toric ideal.(English summary)2003i:13030

Tyc,Andrzej see van den Essen,Arno et al.,2003m:13017

Villarreal,Rafael H.see Eliahou,Shalom,2003b:13032

13F Arithmetic rings and other special rings

313200313F55

Winiarski,Tadeusz see Jarnicki,Witold et al.,2003a:13023

Yokoyama,Kazuhiro On primary ideal decomposition of polynomial ideals over?nite

?elds.(Japanese)

Items with secondary classi?cations in13F20

Al-Khamees,Yousif see Singh,Surjeet,2003d:13016

Berson,Joost Two-dimensional stable tameness over Noetherian domains of dimension one.(English summary)2003k:14078

Blinkov,Yu.A.see Gerdt,Vladimir P.et al.,2003j:13038

Bonanzinga,Vittoria(with Escobar,Cesar A.;Villarreal,Rafael H.)On the normality of Rees algebras associated to totally unimodular matrices.(English summary)2003f:13002 Caceres-Duque,Luis F.Ideal theories of the ring of polynomials over the integers.(English summary)2003d:13022

Cahen,Paul-Jean(with Chabert,Jean-Luc)On the ultrametric Stone-Weierstrass theorem and Mahler’s expansion.(English and French summaries)2003g:46086

Chabert,Jean-Luc see Cahen,Paul-Jean,2003g:46086

Conca,Aldo Reduction numbers and initial ideals.(English summary)2003j:13036 Escobar,Cesar A.see Bonanzinga,Vittoria et al.,2003f:13002

Fekak,Azzeddine(with Srhir,Ahmed)On the p-adic Nullstellensatz.(English summary) 2003e:14001

Gasharov,Vesselin(with Hibi,Takayuki;Peeva,Irena)Resolutions of a-stable ideals. (English summary)2003j:13014

Gerdt,Vladimir P.(with Blinkov,Yu.A.;Yanovich,Denis A.)Construction of Janet bases. II.Polynomial bases.(English summary)2003j:13038

Golubitski??,O.D.An involutive Gr¨obner walk.(Russian.English and Russian summaries) 2003b:13042

Hibi,Takayuki see Gasharov,Vesselinet al.,2003j:13014

Jarboui,No?o man(with Y engui,Ihsen)Absolutely S-domains and pseudo-polynomial rings.(English summary)2003i:13017

Kemper,Gregor The calculation of radical ideals in positive characteristic.(English summary)2003j:13039

Peeva,Irena see Gasharov,Vesselinet al.,2003j:13014

Popescu,Angel An Euclidean algorithm in K[X1,...,X n]and an application in valuation theory.(English summary)2003e:13029

Schoutens,Hans Uniform bounds in algebraic geometry and commutative algebra.

2003g:13029

Shpilrain,Vladimir(with Yu,Jie-Tai)Non-extendable isomorphisms between a?ne varieties.(English summary)2003e:14053

Simis,Aron(with Villarreal,Rafael H.)Constraints for the normality of monomial subrings and birationality.(English summary)2003k:13011

Singh,Surjeet(with Al-Khamees,Y ousif)Socle series of a commutative Artinian ring. (English summary)2003d:13016

Srhir,Ahmed see Fekak,Azzeddine,2003e:14001

Villarreal,Rafael H.see Bonanzinga,Vittoria et al.,2003f:13002and Simis,Aron,

2003k:13011

Voskoglou,Michael G.Di?erential simplicity and dimension of a commutative ring. (English summary)2003b:13039

Vsemirnov,M.A.The Woods-Erd?os conjecture for polynomial rings.(English summary) 2003f:03059

Wang,Li-ping(with Zhu,Yue-fei)Multisequence synthesis over an integral domain. (English summary)2003d:11098

Wood,Melanie P-orderings:a metric viewpoint and the non-existence of simultaneous orderings.(English summary)2003k:13022

Yanovich,Denis A.see Gerdt,Vladimir P.et al.,2003j:13038

Yengui,Ihsen On questions related to saturated chains of primes in polynomial rings. (English summary)2003k:13013

see also Jarboui,No?o man,2003i:13017

Yu,Jie-Tai see Shpilrain,Vladimir,2003e:14053

Zhu,Yue-fei see Wang,Li-ping,2003d:11098

13F25Formal power series rings[see also13J05]

Anderson,D.D.(with Kang,Byung Gyun;Park,Mi Hee)GCD domains and power series rings.(English summary)2003j:13029

BenNasr,M abrouk Krull and valuative dimensions of power series rings over a pullback. (English summary)2003e:13033

Coykendall,Jim The SFT property does not imply?nite dimension for power series rings. (English summary)2003k:13025

Frohn,Daniel A counterexample concerning ACCP in power series rings.(English summary)2003h:13029

Gan,Xiao-Xiong(with Knox,Nathaniel)On composition of formal power series.(English summary)2003i:13031

vander Hoeven,Joris Relax,but don’t be too lazy.(English summary)2003k:13026 Kang,Byung Gyun see An derson,D.D.et al.,2003j:13029

Kedlaya,KiranS.The algebraic closure of the power series?eld in positive characteristic. (English summary)2003a:13025

Knox,Nathaniel see Gan,Xiao-Xiong,2003i:13031

Mosteig,Edward Computing leading exponents of Noetherian power series.(English summary)2003j:13030

Navas,Luis M.Iteration of the composition of formal power series.(Spanish.English summary)2003b:13033

Park,Mi Hee see An derson,D.D.et al.,2003j:13029

Pitteloud,Daniel Algebraic properties of rings of generalized power series.(English summary)2003f:13022

Reich,Ludwig On the distribution of formal power series transformations with respect to embeddability in the order topology.2003b:13034

Items with secondary classi?cations in13F25

Imbesi,Maurizio Module of di?erentials of quasi-K¨a hlerian algebras in unequal characteristic.(English summary)2003e:13038Wang,Li-ping(with Zhu,Yue-fei)Multisequence synthesis over an integral domain.

(English summary)2003d:11098

Zhu,Yue-fei see Wang,Li-ping,2003d:11098

13F30Valuationrin gs[see also13A18]

Badawi,Ayman Pseudo-valuation domains:a survey.2003f:13023

Kang,Byung Gyun(with Park,Mi Hee)Completion of a globalized pseudo-valuation domain.(English summary)2003m:13018

Park,Mi Hee see Kang,Byung Gyun,2003m:13018

Items with secondary classi?cations in13F30

Anderson,D.D.(with Kang,Byung Gyun;Park,Mi Hee)GCD domains and power series rings.(English summary)2003j:13029

Kang,Byung Gyun see Anderson,D.D.et al.,2003j:13029

Park,Mi Hee see An derson,D.D.et al.,2003j:13029

Popescu,Angel An Euclidean algorithm in K[X1,...,X n]and an application in valuation theory.(English summary)2003e:13029

Rangaswamy,K.M.On torsion-free modules over valuation domains.(English summary) 2003b:13024

13F40Excellent rings

Florenz,Mark(with Kunvipusilkul,Davina;Yang,Junghee)Constructing chains of excellent rings with local generic formal?bers.(English summary)2003f:13024 Kunvipusilkul,Davina see Florenz,Mark et al.,2003f:13024

Yang,Junghee see Florenz,Mark et al.,2003f:13024

Items with secondary classi?cations in13F40

Etesse,Jean-Yves Rel`e vement de sch′e mas et alg`e bres de Monsky-Washnitzer:th′e or`e mes d’′e quivalence et de pleine?d′e lit′e.[Lifting of schemes and Monsky-Washnitzer algebras: equivalence and full faithfulness theorems]2003g:14025

13F45Seminormal rings

Matsuda,Ry?u ki Note on closedness of a semigroup ring.(English summary)2003d:13019 Picavet-L’Hermitte,Martine Root closure in algebraic orders.(English summary) 2003e:13034

Items with secondary classi?cations in13F45

Anderson,David F.(with Badawi,Ayman)Divisibility conditions in commutative rings with zerodivisors.(English summary)2003e:13002

Badawi,Ayman see Anderson,David F.,2003e:13002

13F50Rings with straightening laws,Hodge algebras

Items with secondary classi?cations in13F50

Aramova,Annetta(with Herzog,J¨urgen;Hibi,Takayuki)Shellability of semigroup rings.

(English summary)2003m:13020

De Negri,Emanuela Some results on Hilbert series and a-invariant of Pfa?an ideals.

2003b:13016

Herzog,J¨u rgen see Aramova,Annetta et al.,2003m:13020

Hibi,Takayuki see Aramova,Annetta et al.,2003m:13020

Li,Hongbo(with Wu,Yihong)Automated theorem proving in projective geometry with bracket algebra.(English summary)2003b:51001

Wu,Yihong see Li,Hongbo,2003b:51001

13F55Face and Stanley-Reisner rings;simplicial complexes [see also55U10]

Faridi,Sara The facet ideal of a simplicial complex.(English summary)2003k:13027 Terai,Naoki Degrees of Stanley-Reisner rings and arithmetic degrees.(Japanese)

Items with secondary classi?cations in13F55

Aramova,Annetta(with Herzog,J¨urgen;Hibi,Takayuki)Shellability of semigroup rings.

(English summary)2003m:13020

Batzies,E.(with Welker,Volkmar)Discrete Morse theory for cellular resolutions.(English summary)2003b:13017

Borovik,Alexandre V.(with Gel fand,Izrail Moiseevich;Stone,D.A.)On the topology of the combinatorial?ag varieties.(English summary)2003a:52014

Bukhshtaber,V.M.(with Panov,Taras E.) Torus actions and their applications in topology and combinatorics.(English summary)2003e:57039

Dong,Xun2(with Wachs,Michelle L.)Combinatorial Laplacian of the matching complex.

(English summary)2003g:05131

Duval,Art M.Algebraic shifting and spectral sequences.(English summary)2003c:18015 Gel fand,Izrail Moiseevich see Borovik,Alexandre V.et al.,2003a:52014

Herzog,J¨u rgen see Aramova,Annetta et al.,2003m:13020

Hibi,Takayuki see Aramova,Annetta et al.,2003m:13020

Panov,Taras E.see Bukhshtaber,V.M.,2003e:57039

Reiner,Victor(with Welker,Volkmar)Linear syzygies of Stanley-Reisner ideals.(English summary)2003a:13016

Renteln,Paul The Hilbert series of the face ring of a?ag complex.(English summary) 2003i:13025

Stone,D.A.see Borovik,Alexandre V.et al.,2003a:52014

Swartz,E.Topological representations of matroids.2003m:05048

Terai,Naoki Average number of connected components and free resolutions of Stanley-Reisner rings.

Wachs,Michelle L.see Dong,Xun2,2003g:05131

Welker,Volkmar see Reiner,Victor,2003a:13016and Batzies,E.,2003b:13017

COMMUTATIVE RINGS AND ALGEBRAS

13F552003314

Yanagawa,Kohji Squarefree modules and local cohomology modules at monomial ideals. 2003d:13014

13F99None of the above,but in this section

Items with secondary classi?cations in13F99

Hassler,Wolfgang Arithmetical properties of one-dimensional,analytically rami?ed local domains.2003a:13027

13G05Integral domains

Al-Salihi,Sinan O.Ibrahim see Dumitrescu,Tiberiu,2003a:13026

Anderson,David F.(with Kim,Hwankoo;Park,Jeanam)Factorable domains.(English summary)2003j:13031

Dumitrescu,Tiberiu(with Al-Salihi,Sinan O.Ibrahim)A note on composite domains

A+XB[X]and A+XB[[X]].(English summary)2003a:13026

A two-dimensional domain whose integral closure is not T-linked.(English summary) 2003m:13019

Hassler,Wolfgang Arithmetical properties of one-dimensional,analytically rami?ed local domains.2003a:13027

Elasticity of factorizations in R0+XR1+···+X l R l[X].(English summary)

2003f:13025

Kim,Hwankoo see Anderson,David F.et al.,2003j:13031

Lantz,David C.Example of an interpolation domain.(English summary)2003g:13025 Matsuda,Ry?u ki On the number of semistar-operations.(see2003c:00023)

Mimouni,A.TW-domains and strong Mori domains.(English summary)2003j:13032 Park,Jeanam see Anderson,David F.et al.,2003j:13031

Items with secondary classi?cations in13G05

Chang,Gyu Whan A pinched-Krull domain at a prime ideal.(English summary)

2003h:13026

(with Park,Jeanam)Star-invertible ideals of integral domains.(English and Italian summaries)2003m:13002

Fontana,Marco(with Popescu,Nicolae)Universal property of the Kaplansky ideal transform and a?neness of open subsets.(English summary)2003i:13001

Kreuzer,Alexander(with Maxson,C.J.)Forcing linearity numbers for injective modules over PID’s.(English summary)2003d:13009

Maxson,C.J.see Kreuzer,Alexander,2003d:13009

Micale,Vincenzo On monomial semigroups.(English summary)2003j:20095 Neumann,O.Was sollen und was sind Divisoren?(German summary)[What are divisors and what can we do with them?]2003k:13021

Park,Jeanam see Chang,Gyu Whan,2003m:13002

Picavet-L’Hermitte,Martine Root closure in algebraic orders.(English summary)

2003e:13034

Popescu,Nicolae see Fontana,Marco,2003i:13001

Zabavski??,B.V.Elementary reduction of matrices over adequate domain.(English and Russian summaries)

13Hxx Local rings and semilocal rings

13H05Regular local rings

Furuya,Mamoru(with Niitsuma,Hiroshi)A note on regularity of Noetherian complete local rings of unequal characteristic.(English summary)2003i:13032

Lee,Sichang Chow groups of complete regular local rings.III.(English summary)

2003d:13020

Niitsuma,Hiroshi see Furuya,Mamoru,2003i:13032

Items with secondary classi?cations in13H05

Debremaeker,R.(with Van Lierde,V.)A short proof of the length formula of Hoskin and Deligne.(English summary)2003c:13016

Goto,Shiro(with Hayasaka,Futoshi;Iai,Shin-Ichiro)The a-invariant and Gorenstein-ness of graded rings associated to?ltrations of ideals in regular local rings.(English sum-mary)2003j:13004

Hayasaka,Futoshi see Goto,Shiro et al.,2003j:13004

Iai,Shin-Ichiro see Goto,Shiro et al.,2003j:13004

Sather-Wagsta?,Sean Intersections of symbolic powers of prime ideals.(English summary)2003c:13017

VanLierde,V.see Debremaeker,R.,2003c:13016

13H10Special types(Cohen-Macaulay,Gorenstein,Buchsbaum, etc.)[see also14M05]

Aramova,Annetta(with Herzog,J¨urgen;Hibi,Takayuki)Shellability of semigroup rings. (English summary)2003m:13020

Bouchiba,Samir(with Kabbaj,Salah-Eddine)Tensor products of Cohen-Macaulay rings: solution to a problem of Grothendieck.(English summary)2003k:13028

Corso,Alberto(with Polini,Claudia;Ulrich,Bernd)Core and residual intersections of ideals.(English summary)2003b:13035

Garc′?a-S′a nchez,P.A.(with Rosales,J.C.)On Buchsbaum simplicial a?ne semigroups. (English summary)2003c:13015

Goto,Shiro(with Kim,Mee-Kyoung)Equimultiple good ideals.(English summary) 2003g:13026

Herzog,J¨u rgen see Aramova,Annetta et al.,2003m:13020

Hibi,Takayuki see Aramova,Annetta et al.,2003m:13020

Kabbaj,Salah-Eddine see Bouchiba,Samir,2003k:13028

Kim,Mee-Kyoung see Goto,Shiro,2003g:13026Polini,Claudia see Corso,Alberto et al.,2003b:13035

Rosales,J.C.see Garc′?a-S′a nchez,P.A.,2003c:13015

Ulrich,Bernd see Corso,Alberto et al.,2003b:13035

Yamagishi,Kikumichi Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-I-invariant case.(English summary)2003b:13036

Items with secondary classi?cations in13H10

Brodmann,Markus P.(with Sharp,Rodney Y.)On the dimension and multiplicity of local cohomology modules.(English summary)2003g:13022

Christensen,Lars Winther(with Foxby,Hans-Bj?rn;Frankild,Anders)Restricted homological dimensions and Cohen-Macaulayness.(English summary)2003e:13022 D’Cruz,Clare(with Verma,J.K.)Hilbert series of?ber cones of ideals with almost minimal mixed multiplicity.(English summary)2003b:13037

Ein,Lawrence(with Lazarsfeld,Robert;Smith,Karen E.)Uniform approximation of Abhyankar valuation ideals in smooth function?elds.(English summary)2003m:13004 Estrada,Mario E.On a theorem of Fr¨oberg and saturated graphs.(Spanish.English and Spanish summaries)2003g:13011

Foxby,Hans-Bj?rn see Christensen,Lars Winther et al.,2003e:13022

Frankild,Anders see Christensen,Lars Winther et al.,2003e:13022

Goto,Shiro(with Iai,Shin-Ichiro)Gorenstein associated graded rings of analytic deviation two ideals.(English summary)2003a:13002

(with Nakamura,Yukio1)The bound of the di?erence between parameter ideals and their tight closures.2003a:13003

(with Haraikawa,Satoshi)Good ideals in Artinian Gorenstein local rings obtained by idealization.2003m:13005

(with Hayasaka,Futoshi;Iai,Shin-Ichiro)The a-invariant and Gorensteinness of

graded rings associated to?ltrations of ideals in regular local rings.(English summary) 2003j:13004

H`a,Huy T`a i On the Rees algebra of certain codimension two perfect ideals.(English summary)2003d:13002

Haraikawa,Satoshi see Goto,Shiro,2003m:13005

Hayasaka,Futoshi see Goto,Shiro et al.,2003j:13004

Heinzer,William J.(with Rotthaus,Christel;Wiegand,Sylvia)Intermediate rings between

a local domain and its completion.II.(English summary)2003e:13003

(with Li,Aihua1;Ratli?,Louis J.,Jr.;Rush,David E.)Monoidal extensions of a Cohen-Macaulay unique factorization domain.(English summary)2003d:13017

Hibi,Takayuki see Ohsugi,Hidefumi,2003f:05079

Huneke,Craig(with Leuschke,Graham J.)Two theorems about maximal Cohen-Macaulay modules.(English summary)2003j:13011

Hyry,Eero Cohen-Macaulay multi-Rees algebras.(English summary)2003b:13005

Iai,Shin-Ichiro see Goto,Shiro et al.,2003a:13002and2003j:13004

Iliev,Atanas(with Ranestad,Kristian)Canonical curves and varieties of sums of powers of cubic polynomials.(English summary)2003c:14032

Ionescu,Cristodor(with Restuccia,Gaetana)A note on P-morphisms.(English summary) 2003d:13007

Jayanthan,A.V.(with Verma,J.K.)Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.(English summary)2003h:13004

Kemper,Gregor Loci in quotients by?nite groups,pointwise stabilizers and the Buchs-baum property.(English summary)2003i:13006

Kim,Mee-Kyoung Note on good ideals in Gorenstein local rings.(English summary) 2003h:13005

Lazarsfeld,Robert see Ein,Lawrence et al.,2003m:13004

Lesperance,Joshua Gorenstein liaison of some curves in P4.(English summary) 2003g:14065

Leuschke,Graham J.Gorenstein modules,?nite index,and?nite Cohen-Macaulay type.

(English summary)2003a:13010

see also Huneke,Craig,2003j:13011

Li,Aihua1see Heinzer,William J.et al.,2003d:13017

M igliore,JuanC.(with Mir′o-Roig,Rosa Maria)On the minimal free resolution of n+1 general forms.(English summary)2003e:13020

Miller,Ezra Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions.(English summary)2003a:13015

Mir′o-Roig,Rosa Maria see M igliore,JuanC.,2003e:13020

Nakamura,Yukio1see Goto,Shiro,2003a:13003

Ohsugi,Hidefumi(with Hibi,Takayuki)Hamiltonian tournaments and Gorenstein rings.

(English summary)2003f:05079

Ranestad,Kristian see Iliev,Atanas,2003c:14032

Ratli?,Louis J.,Jr.see Heinzer,William J.et al.,2003d:13017

Restuccia,Gaetana see Ionescu,Cristodor,2003d:13007

Rotthaus,Christel see Heinzer,William J.et al.,2003e:13003

Rush,David E.see Heinzer,William J.et al.,2003d:13017

Sabourin,L.n-type vectors and the Cayley-Bacharach property.(English summary) 2003f:13016

Sharp,Rodney Y.see Brodmann,Markus P.,2003g:13022

Simon,Anne-Marie(with Strooker,Jan R.)Reduced Bass numbers,Auslander’s -invariant and certain homological conjectures.(English summary)2003j:13018 Singh,Anurag K.Cyclic covers of rings with rational singularities.(English summary) 2003m:13006

Smith,KarenE.see Ein,Lawrence et al.,2003m:13004

Srinivas,Vasudevan Some geometric methods in commutative algebra.2003a:13020 Strooker,JanR.see Simon,Anne-Marie,2003j:13018

Verma,J.K.see D’Cruz,Clare,2003b:13037and Jayanthan,A.V.,2003h:13004 Wiegand,Sylvia see Heinzer,William J.et al.,2003e:13003

13H15Multiplicity theory and related topics[see also14C17] Achilles,R¨u diger(with Rams,S?awomir)Intersection numbers,Segre numbers and generalized Samuel multiplicities.(English summary)2003a:13028

Ciuperc?a,C?a t?a lin A numerical characterization of the S2-i?cation of a Rees algebra.

(English summary)2003j:13033

13K Witt vectors and related rings

315200313K05

D’Cruz,Clare(with Verma,J.K.)Hilbert series of?ber cones of ideals with almost minimal mixed multiplicity.(English summary)2003b:13037

Debremaeker,R.(with Van Lierde,V.)A short proof of the length formula of Hoskin and Deligne.(English summary)2003c:13016

Duong Qu?o c Vi.?e t On some properties of(FC)-sequences of ideals in local rings.(English summary)2003i:13033

Flenner,Hubert(with Manaresi,Mirella)Equimultiplicity and equidimensionality of normal cones.2003a:13029

Hanes,Douglas Bounds on multiplicities of local rings.(English summary)2003k:13029 Manaresi,Mirella see Flenner,Hubert,2003a:13029

Mustat??a,Mircea On multiplicities of graded sequences of ideals.(English summary) 2003k:13030

Rams,S?awomir On the index of contact and multiplicities for bigraded rings.(English summary)2003a:13030

see also Achilles,R¨u diger,2003a:13028

Roberts,Paul C.Intersection multiplicities and dimension inequalities.2003j:13034 Sather-Wagsta?,Sean Intersections of symbolic powers of prime ideals.(English summary)2003c:13017

VanLierde,V.see Debremaeker,R.,2003c:13016

Verma,J.K.see D’Cruz,Clare,2003b:13037

Items with secondary classi?cations in13H15

Bivi`a-Ausina,Carles A method to estimate the degree of C0-su?ciency of analytic functions.(English summary)2003k:58067

Chan,C-Y.Jean An intersection multiplicity in terms of Ext-modules.(English summary) 2003a:13018

Goto,Shiro(with Kim,Mee-Kyoung)Equimultiple good ideals.(English summary) 2003g:13026

(with Nakamura,Yukio1)The bound of the di?erence between parameter ideals and their tight closures.2003a:13003

Harbourne,Brian Problems and progress:a survey on fat points in P2.(English summary) 2003f:13032

Jayanthan,A.V.(with Verma,J.K.)Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.(English summary)2003h:13004

Kim,Mee-Kyoung The dimension of the?ber cone.(English summary)2003j:13005

see also Goto,Shiro,2003g:13026

Nagasawa,Ryoichi Branches and multiplicities.2003b:14009

Nakamura,Yukio1see Goto,Shiro,2003a:13003

Verma,J.K.see Jayanthan,A.V.,2003h:13004

13H99None of the above,but in this section

Sharma,Pramod K.A note on automorphisms of local rings.(English summary)

2003g:13027

Items with secondary classi?cations in13H99

Crupi,Marilena(with Ionescu,Cristodor)A note on derivations in rings of characteristic p>0.(English summary)2003a:13031

Hassler,Wolfgang Arithmetical properties of one-dimensional,analytically rami?ed local domains.2003a:13027

Ionescu,Cristodor see Crupi,Marilena,2003a:13031

Micale,Vincenzo On monomial semigroups.(English summary)2003j:20095 NguyenThi Hon g Loan see Nguy??e nTu.’Cu’`o’ng,2003i:13015

Nguy??e nTu.’Cu’`o’ng(with Nguyen Thi Hong Loan)On pseudo-Buchsbaum modules. 2003i:13015

Song,Youngkwon Maximal commutative subalgebras of matrix algebra with i(m)=3. (English summary)2003d:16038

13Jxx Topological rings and modules[see also16W60, 16W80]

13J05Power series rings[see also13F25]

Loray,Frank Une′e tude formelle des sous-groupes non r′e solubles de Aut(C,0).[Formal study of nonsolvable subgroups of Aut(C,0)]

Items with secondary classi?cations in13J05

Gan,Xiao-Xiong(with Knox,Nathaniel)On composition of formal power series.(English summary)2003i:13031

(Guralnick,Robert M.)see Harbater,David,2003i:12008

Harbater,David(with van der Put,Marius)Valued?elds and covers in characteristic p. (English summary)2003i:12008

Kedlaya,KiranS.The algebraic closure of the power series?eld in positive characteristic. (English summary)2003a:13025

Knox,Nathaniel see Gan,Xiao-Xiong,2003i:13031

Loepp,S.(with Rotthaus,Christel)On the completeness of factor rings.(English summary)2003e:13035

Mosteig,Edward Computing leading exponents of Noetherian power series.(English summary)2003j:13030

Mourgues,Marie-H′e l`e ne Analytic functions over a?eld of power series.(English summary)2003g:26031

Navas,Luis M.Iteration of the composition of formal power series.(Spanish.English summary)2003b:13033

vander Put,M arius see Harbater,David,2003i:12008

Rotthaus,Christel see Loepp,S.,2003e:1303513J10Complete rings,completion[see also13B35]

Loepp,S.(with Rotthaus,Christel)On the completeness of factor rings.(English summary)2003e:13035

Rotthaus,Christel see Loepp,S.,2003e:13035

Items with secondary classi?cations in13J10

Florenz,Mark(with Kunvipusilkul,Davina;Yang,Junghee)Constructing chains of excellent rings with local generic formal?bers.(English summary)2003f:13024 Furuya,Mamoru(with Niitsuma,Hiroshi)On m-adic higher di?erentials and regularities of Noetherian complete local rings.2003m:13024

Imbesi,Maurizio Module of di?erentials of quasi-K¨a hlerian algebras in unequal characteristic.(English summary)2003e:13038

Kunvipusilkul,Davina see Florenz,Mark et al.,2003f:13024

Niitsuma,Hiroshi see Furuya,Mamoru,2003m:13024

Snellman,Jan Correction of two errors in:“Topological properties of inverse limits of free abelian monoids,with an application to inverse limits of UFDs”[Semigroup Forum59 (1999),no.3,418–434;MR2002g:20103].2003c:20075

Yang,Junghee see Florenz,Mark et al.,2003f:13024

13J15Henselian rings[see also13B40]

Items with secondary classi?cations in13J15

Al-Khamees,Yousif(with Singh,Surjeet)Inertial subrings of a locally?nite algebra.

(English summary)2003c:16022

Heinzer,William J.(with Lantz,David C.)Factorization of monic polynomials.(English summary)2003m:13010

Lantz,David C.see Heinzer,William J.,2003m:13010

Singh,Surjeet see Al-Khamees,Yousif,2003c:16022

13J25Ordered rings[see also06F25]

Geil,Olav(with Pellikaan,Ruud)On the structure of order domains.(English summary) 2003i:13034

Pellikaan,Ruud see Geil,Olav,2003i:13034

Zhang,Digen The real holomorphy rings and the Schm¨udgen property.2003m:13021 Items with secondary classi?cations in13J25

Guier,Jorge I.Boolean products of real closed valuation rings and?elds.(English summary)2003a:03052

13J30Real algebra[see also12D15,14Pxx]

Berr,Ralph Completely real hulls of partially ordered rings.2003f:13026

Dickmann,M.(with Miraglia,F.)Orders and relative Pythagorean closures.2003e:13036 Fujita,Masato(with Shiota,Masahiro)On Hilbert’s17th problem and real Nullstellensatz for de?nable analytic functions.

Miraglia,F.see Dickmann,M.,2003e:13036

Monnier,Jean-Philippe(with Quarez,Ronan)Sums of even powers in Archimedean rings.

(English summary)2003d:13021

Prestel,Alexander(with Schwartz,Niels)Model theory of real closed rings.(English summary)2003h:13030

Quarez,Ronan see Monnier,Jean-Philippe,2003d:13021

Schwartz,Niels see Prestel,Alexander,2003h:13030

Shiota,Masahiro see Fujita,Masato

Items with secondary classi?cations in13J30

Acquistapace,F.(with Andradas,C.;Broglia,F.)The Positivstellensatz for de?nable functions on o-minimal structures.(English summary)2003k:03053

Andradas,C.see Acquistapace,F.et al.,2003k:03053

Broglia,F.see Acquistapace,F.et al.,2003k:03053

Zhang,Digen Real Pr¨ufer extensions of commutative rings.(English summary) 2003a:13022

The real holomorphy rings and the Schm¨udgen property.2003m:13021

13J99None of the above,but in this section

?ojasiewicz,Stanis?aw(with Maszczyk,Tomasz;Rusek,Kamil)On the Weierstrass division.(English summary)2003c:13018

Maszczyk,Tomasz see?ojasiewicz,Stanis?aw et al.,2003c:13018

Mustapha,Najmeddine Modules localement compacts injectifs.(French summary) [Injective locally compact modules]2003c:13019

Rusek,Kamil see?ojasiewicz,Stanis?aw et al.,2003c:13018

Items with secondary classi?cations in13J99

Le Thanh Nhan Dimension and width of linearly compact modules and the co-localization of Artinian modules.(English summary)2003i:13027

see also Nguy??e nTu.’Cu’`o’ng,2003c:13009

Mu?n oz Garcia,E.Asymptotic H¨older absolute values.(English summary)2003d:12007 Nguy??e nTu.’Cu’`o’ng(with Le Thanh Nhan)On representable linearly compact modules.

(English summary)2003c:13009

Xue,Wei Min2Generalized Matlis duality and linear compactness.(English summary) 2003e:13016

13K05Witt vectors and related rings

Auer,Roland A functorial property of nested Witt vectors.(English summary) 2003g:13028