| 摘要 | 第4-6页 |
| Abstract | 第6-7页 |
| Chapter 1 Preface | 第10-22页 |
| 1.1 Background and main results | 第10-20页 |
| 1.2 Symbols | 第20-22页 |
| Chapter 2 Special precovered categories of Gorenstein categories | 第22-44页 |
| 2.1 Introduction | 第22-23页 |
| 2.2 Preliminaries | 第23-26页 |
| 2.3 The right 1-orthogonal category of g(l) | 第26-33页 |
| 2.4 The special precovered category of g(l) | 第33-44页 |
| Chapter 3 Covers and preenvelopes by relative FP-injective and FP-flat complexes and their model structures | 第44-106页 |
| Introduction and motivation | 第44-50页 |
| 3.1 Preliminaries | 第50-53页 |
| 3.1.1 Finiteness of modules and chain complexes | 第51-53页 |
| 3.2 FP_n-injective and FP_n-flat complexes | 第53-67页 |
| 3.2.1 Complexes of type FP_n | 第53-58页 |
| 3.2.2 Presentation dimension | 第58-61页 |
| 3.2.3 Injective and flat complexes relative to complexes of type FP_n | 第61-67页 |
| 3.3 FP_n-injective and FP_n-flat, dimensions | 第67-74页 |
| 3.3.1 FP_n-injective and FP_n-flat dimensions of modules | 第67-70页 |
| 3.3.2 FP_n-injective and FP_n-flat dimensions of complexes | 第70-74页 |
| 3.4 Covers and preenvelopes by FP_n-injective and FP_n-flat complexes | 第74-84页 |
| 3.4.1 Duality pairs from FP_n-injective and FP_n-flat dimensions of mod-ules | 第75-78页 |
| 3.4.2 Induced dual pairs in chain complexes | 第78-80页 |
| 3.4.3 Dual pairs from FP_n-injective and FP_n-flat dimensions of complexes | 第80-84页 |
| 3.5 Model structures from FP_n-injective and FP_n-flat dimensions | 第84-106页 |
| 3.5.1 Construction of model structures via Hovey correspondence | 第85-94页 |
| 3.5.2 The Pontrjagin duality of differential graded complexes | 第94-95页 |
| 3.5.3 Relation between FP_n-injective and FP_n-flat model structures | 第95-106页 |
| Chapter 4 Special precovering and special preenveloping ideals inextriangulated categories | 第106-140页 |
| 4.1 Introduction | 第106-108页 |
| 4.2 Preliminaries | 第108-117页 |
| 4.2.1 E-extensions | 第109-111页 |
| 4.2.2 Externally triangulated categories | 第111-117页 |
| 4.3 Phantom morphisms | 第117-126页 |
| 4.3.1 Phantom morphisms in additive categories | 第117-120页 |
| 4.3.2 Phantom morphisms in extriangulated categories | 第120-126页 |
| 4.4 The interplay between phantom ideals and cotorsion pairs | 第126-135页 |
| 4.5 The correspondences for object ideals | 第135-140页 |
| REFERENCES | 第140-146页 |
| Papers published during my PhD program | 第146-147页 |
| 致谢 | 第147-148页 |
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