Relative Homological Algebra
eBook - PDF

Relative Homological Algebra

Volume 1

  1. 372 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Relative Homological Algebra

Volume 1

About this book

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 as additional important results for specialists.

In this new edition the authors have added well-known additional material in the first three chapters, and added new material that was not available at the time the original edition was published. In particular, the major changes are the following:

  • Chapter 1: Section 1.2 has been rewritten to clarify basic notions for the beginner, and this has necessitated a new Section 1.3.
  • Chapter 3: The classic work of D. G. Northcott on injective envelopes and inverse polynomials is finally included. This provides additional examples for the reader.
  • Chapter 11: Section 11.9 on Kaplansky classes makes volume one more up to date. The material in this section was not available at the time the first edition was published.

The authors also have clarified some text throughout the book and updated the bibliography by adding new references.

The book is also suitable for an introductory course in commutative and ordinary homological algebra.

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Yes, you can access Relative Homological Algebra by Edgar E. Enochs,Overtoun M. G. Jenda in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110215205
eBook ISBN
9783110215212
Edition
2
Subtopic
Algebra

Table of contents

  1. Preface
  2. Preface to the Second Edition
  3. 1 Basic Concepts
  4. 2 Flat Modules, Chain Conditions and Prime Ideals
  5. 3 Injective and Flat Modules
  6. 4 Torsion Free Covering Modules
  7. 5 Covers
  8. 6 Envelopes
  9. 7 Covers, Envelopes, and Cotorsion Theories
  10. 8 Relative Homological Algebra and Balance
  11. 9 Iwanaga-Gorenstein and Cohen-Macaulay Rings and Their Modules
  12. 10 Gorenstein Modules
  13. 11 Gorenstein Covers and Envelopes
  14. 12 Balance over Gorenstein and Cohen-Macaulay Rings
  15. Bibliographical Notes
  16. Bibliography
  17. Index