Relative homological algebra. Volume 1 /

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This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Enochs, Edgar E.
Other Authors: Jenda, Overtoun M. G.
Format: Electronic eBook
Language:Inglés
Published: Berlin ; Boston : De Gruyter, ©2011.
Edition:2nd rev. and extended ed.
Series:De Gruyter expositions in mathematics ; 30.
Subjects:
Algebra, Homological.
Algèbre homologique.
MATHEMATICS > Algebra > Intermediate.
Algebra, Homological
Homologische Algebra
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Preface
  • Preface to the Second Edition
  • Contents
  • Chapter 1. Basic Concepts
  • Chapter 2. Flat Modules, Chain Conditions and Prime Ideals
  • Chapter 3. Injective and Flat Modules
  • Chapter 4. Torsion Free Covering Modules
  • Chapter 5. Covers
  • Chapter 6. Envelopes
  • Chapter 7. Covers, Envelopes, and Cotorsion Theories
  • Chapter 8. Relative Homological Algebra and Balance
  • Chapter 9. Iwanaga-Gorenstein and Cohen-Macaulay Rings and Their Modules
  • Chapter 10. Gorenstein Modules
  • Chapter 11. Gorenstein Covers and Envelopes
  • Chapter 12. Balance over Gorenstein and Cohen-Macaulay Rings
  • Bibliographical Notes
  • Bibliography
  • Index.

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