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Advances in Commutative Ring Theory [Mīkstie vāki]

Edited by (University of Tennessee, Knoxville, USA)
  • Formāts: Paperback / softback, 574 pages, height x width: 246x174 mm, weight: 1070 g
  • Sērija : Lecture Notes in Pure and Applied Mathematics
  • Izdošanas datums: 04-Mar-1999
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0824771478
  • ISBN-13: 9780824771478
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  • Mīkstie vāki
  • Cena: 269,29 €
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  • Bibliotēkām
  • Formāts: Paperback / softback, 574 pages, height x width: 246x174 mm, weight: 1070 g
  • Sērija : Lecture Notes in Pure and Applied Mathematics
  • Izdošanas datums: 04-Mar-1999
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0824771478
  • ISBN-13: 9780824771478
Citas grāmatas par šo tēmu:
Six of the 32 papers survey various aspects of commutative algebra, such as extensions of unique factorization, root closure in commutative rings, and Kaplansky ideal transform. The others report new results. Among the topics are hermite and weakly semi-Steinitz properties in pullbacks, the characteristic sequence of integer-valued polynomials on a subset, divisor properties inherited by normsets of rings of integers, polynomial functions on finite commutative rings, building Noetherian domains inside an ideal-adic completion II, trace properties and integral domains, a classification of plane cubic curves, and the failure of Krull-Schnidt for direct sums of copies of a module. No date is mentioned for the conference. Some of the reproduced typescripts are double spaced. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface iii Contributors ix Group Rings R (G) with 4-Generated Ideals When R is an Artinian Ring with the 2-Generator Property 1(72) Souad Ameziane Hassani Salah-Eddine Kabbaj π-Domains without Identity 25 D. D. Anderson Extensions of Unique Factorization: A Survey 31 D. D. Anderson Root Closure in Commutative Rings: A Survey 55 David F. Anderson On the Class Group A + XB(X) Domains 73(14) David F. Anderson Said El Baghdadi Salah-Eddine Kabbaj Rooty and Root Closed Domains 87(14) David F. Anderson Jeanam Park On &phis;-Pseudo-Valuation Rings 101(10) Ayman Badawi Foliations, Spectral Topology, and Special Morphisms 111(22) Ezzeddine Bouacida Othman Echi Ezzeddine Salhi Hermite and Weakly Semi-Steinitz Properties in Pullbacks 133(12) Abdelmalek Bouanane Najib Mahdou The Dimension of Tensor Products of Commutative Algebras Over a Zero-Dimensional Ring 145(16) Samir Bouchiba Florida Girolami Salah-Eddine Kabbaj The Characteristic Sequence of Integer-Valued Polynomials on a Subset 161(14) J. Boulanger J.-L. Chabert S. Evrard G. Gerboud Skolem Properties and Integer-Valued Polynomials: A Survey 175(22) Paul-Jean Cahen Jean-Luc Chabert Multiplicative Groups of Fields 197(20) Maria Contessa Joe L. Mott Warren Nichols Factorization in Antimatter Rings 217(10) Jim Coykendall David E. Dobbs Bernadette Mullins Divisor Properties Inherited by Normsets of Rings of Integers 227(14) Jim Coykendall Ayse A. Teymuroglu On the Probability That Eisensteins Criterion Applies to an Arbitrary Irreducible Polynomial 241(16) David E. Dobbs Laura E. Johnson When Is D + M n-Coherent and an (n,d)-Domain? 257(14) David E. Dobbs Salah-Eddine Kabbaj Najib Mahdou Mohamed Sobrani Kaplansky Ideal Transform: A Survey 271(36) Marco Fontana Polynomial Closure in Essential Domains and Pullbacks 307(16) Marco Fontana Lahoucine Izelgue Salah-Eddine Kabbaj Francesca Tartarone Polynomial Functions on Finite Commutative Rings 323(14) Sophie Frisch Koszul Algebras 337(14) Ralf Froberg Primary Decomposition of Ideals 351(18) Guang Fu Primary Decomposition of Ideals in Polynomial Rings 369(22) Guang Fu Robert Gilmer Prufer (##)-Domains and Localizing Systems of Ideals 391(20) Stefania Gabelli Building Noetherian Domains Inside an Ideal-adic Completion II 411(10) William Heinzer Christel Rotthaus Sylvia Wiegand Trace Properties and Integral Domains 421(16) Salah-Eddine Kabbaj Thomas G. Lucas Abdeslam Mimouni Pullbacks and Coherent-Like Properties 437(24) Abdeslam Mimouni Classification of Plane Cubic Curves 461(22) S. B. Mulay Commutative Monoid Rings with n-Generated Ideals 483(18) James S. Okon J. Paul Vicknair About GCD Domains 501(20) Gabriel Picavet Seminormality and t-Closedness of Algebraic Orders 521(20) Martine Picavet-LHermitte Failure of Krull-Schmidt for Direct Sums of Copies of a Module 541(8) Roger Wiegand Index 549
Dobbs; David University of Tennessee, Knoxville, TN, U.S.A,