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