Relative Homological Algebra. / Volume 1, : Relative Homological Algebra ; Volume 1.
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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| Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2011 |
| Year of Publication: | 2011 |
| Edition: | 2nd revised and extended edition |
| Language: | English |
| Series: | De Gruyter Expositions in Mathematics ,
30 |
| Online Access: | |
| Physical Description: | 1 online resource (359 p.) |
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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