Relative homological algebra Volume 1 prefaces missing 2nd Edition by Edgar E Enochs,Overtoun M G Jenda ISBN 3110215209 9783110215205

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Product details:

ISBN 10: 3110215209

ISBN 13: 9783110215205 

Author: Edgar E. Enochs, Overtoun M. G. Jenda

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.

Table of contents:

1 Basic Concepts
2 Flat Modules Chain Conditions and Prime Ideals
3 Injective and Flat Modules
4 Torsion Free Covering Modules
5 Covers
6 Envelopes
7 Covers Envelopes and Cotorsion Theories
8 Relative Homological Algebra and Balance
9 IwanagaGorenstein and CohenMacaulay Rings and Their Modules
10 Gorenstein Modules
11 Gorenstein Covers and Envelopes
12 Balance over Gorenstein and CohenMacaulay Rings

Bibliographical Notes
Bibliography
Index

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Tags: Edgar E Enochs, Overtoun M G Jenda, Relative Homological Algebra, Volume 1