Chapter 1. Basic Concepts

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Preface to the Second Edition IX
4. Contents XI
5. Chapter 1. Basic Concepts 1
6. Chapter 2. Flat Modules, Chain Conditions and Prime Ideals 42
7. Chapter 3. Injective and Flat Modules 71
8. Chapter 4. Torsion Free Covering Modules 98
9. Chapter 5. Covers 110
10. Chapter 6. Envelopes 135
11. Chapter 7. Covers, Envelopes, and Cotorsion Theories 158
12. Chapter 8. Relative Homological Algebra and Balance 173
13. Chapter 9. Iwanaga–Gorenstein and Cohen–Macaulay Rings and Their Modules 219
14. Chapter 10. Gorenstein Modules 249
15. Chapter 11. Gorenstein Covers and Envelopes 280
16. Chapter 12. Balance over Gorenstein and Cohen–Macaulay Rings 311
17. Bibliographical Notes 337
18. Bibliography 341
19. Index 351