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Interactions Between Ring Theory and Representations of Algebras [Minkštas viršelis]

Edited by (Univesidad de Murcia, Spain), Edited by (University of Antwerp/UA, Belgium)
  • Formatas: Paperback / softback, 466 pages, aukštis x plotis: 279x216 mm, weight: 816 g, Contains 210 paperbacks
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 05-Apr-2000
  • Leidėjas: CRC Press Inc
  • ISBN-10: 0824703677
  • ISBN-13: 9780824703677
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 466 pages, aukštis x plotis: 279x216 mm, weight: 816 g, Contains 210 paperbacks
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 05-Apr-2000
  • Leidėjas: CRC Press Inc
  • ISBN-10: 0824703677
  • ISBN-13: 9780824703677
Kitos knygos pagal šią temą:
Consists of some 30 lectures and invited papers written by mathematicians from Europe, North America, Asia, the Middle East, and North Africa. Some of the topics covered in the volume includes global krull dimension; finding splitting elements and maximal tori in matrix algebras; D-Gorenstein modules; a projective version of Maranda's Theorem; prime spectra of quantized coordinate rings; noetherian semigroup algebras; a lattice invariant for modules; covers and envelopes in functor categories; and static modules and equivalences. Contributions are presented in their original typeface but are continuously paginated. One article appears in French, untranslated. Lacks a subject index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.
Preface iii Contributors vii Global Krull Dimension 1(22) Toma Albu Patrick F. Smith Derivations de la n-ieme algebre de Weyl quantique multiparametree 23(12) LMoufadal Ben Yakoub Tensor Hochschild Homology and Cohomology 35(18) Claude Cibils Generalized Path Algebras 53(14) Flavio Ulhoa Coelho Shao-Xue Liu Representations and Corepresentations of Hopf Algebras 67(14) Miriam Cohen Cotilting Bimodules and Their Dualities 81(14) Riccardo Colpi Finding Splitting Elements and Maximal Tori in Matrix Algebras 95(12) Willem A. de Graaf Gabor Ivanyos Cohen-Macaulay Modules and Vector Bundles 107(24) Yuri A. Drozd A Note on Filtrations and Valuations for Ordered Groups 131(10) Maha Helmy Ibrahim El Baroudy Freddy Van Oystaeyen A Survey of Covers and Envelopes 141(18) Edgar E. Enochs Overtoun M. G. Jenda On D-Gorenstein Modules 159(10) Edgar E. Enochs Overtoun M. G. Jenda Skew Polynomial Rings with Wide Family of Prime Ideals 169(10) Miguel Ferrero Jerzy Matczuk On Auslander--Reiten Systems via Tensor Product 179(10) Odile Garotta On a Projective Version of Marandas Theorem 189(6) Yuval Ginosar Uri Onn Chain Conditions on Direct Summands and Pure Quotient Modules 195(10) Jose L. Gomez Pardo Pedro A. Guil Asensio Prime Spectra of Quantized Coordinate Rings 205(34) K. R. Goodearl Prime Ideals in Certain Quantum Determinantal Rings 239(14) K. R. Goodearl T. H. Lenagan Noetherian Semigroup Algebras: A Survey 253(24) Eric Jespers Jan Okninski On the Recognition Problem of the Irreducibility for A1 (k)-Modules nd Their Characteristic Varieties 277(10) Huishi Li Lu Chen The Construction of a Generator for R-DMod 287(10) Leandro Marin A Lattice Invariant for Modules 297(16) Barbara L. Osofsky Unit Groups of Lie Centre-by-Metabelian Group Algebras 313(8) Richard Rossmanith Covers and Envelopes in Functor Categories 321(10) Manuel Saorin Alberto Del Valle Faithful Flatness over Hopf Subalgebras: Counterexamples 331(14) Peter Schauenburg Cohen--Macaulay Modules over Classical Orders 345(38) Daniel Simson On Associated Primes and Weakly Associated Primes 383(10) Boris Sirola On Kaplanskys Conjectures 393(20) Yorck Sommerhauser The Duality Theorem for Coactions of Multiplier Hopf Algebras 413(10) Alfons Van Daele Yinhuo Zhang Static Modules and Equivalences 423 Robert Wisbauer