| 摘要 | 第1-5页 |
| Abstract | 第5-9页 |
| Chapter 1 Introduction | 第9-16页 |
| ·Background and main results | 第9-15页 |
| ·Symbols | 第15-16页 |
| Chapter 2 Some conditions for the existence of Gorenstein projective covers and preenvelopes | 第16-32页 |
| ·Introduction | 第16-17页 |
| ·Preliminaries | 第17-19页 |
| ·Rings over which Gorenstein flat and projective are equivalent | 第19-22页 |
| ·Main Results | 第22-32页 |
| Chapter 3 Relative cohomology and generalized Tate cohomology | 第32-60页 |
| ·Introduction | 第32-33页 |
| ·Resolutions and relative cohomology | 第33-35页 |
| ·Relative homological dimensions | 第35-45页 |
| ·Comparison for relative cohomology and generalized Tate cohomology | 第45-54页 |
| ·Applications and examples | 第54-60页 |
| ·Gorenstein and C-Gorenstein derived functors | 第54-56页 |
| ·Derived functors with respect to A_C(R) and B_C(R) | 第56-60页 |
| Chapter 4 A note on χ-Gorenstein projective modules | 第60-70页 |
| ·Introduction | 第60页 |
| ·χ-Gorenstein projective dimensions | 第60-64页 |
| ·χ-Gorenstein projective precovers | 第64-70页 |
| REFERENCES | 第70-74页 |
| Papers published during my PhD program | 第74-75页 |
| 致谢 | 第75-76页 |
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