Semidualizing Modules

1.1. Projective Dimension......Page 5
1.2. Complete Intersection Dimension......Page 6
1.3. G-Dimension......Page 8
2.1. Definitions and Basic Properties......Page 11
2.2. Base Change......Page 16
2.3. Examples......Page 22
3.1. Definitions and Basic Properties......Page 25
3.2. Foxby Equivalence......Page 32
3.3. Other Operators on Foxby Classes......Page 35
3.4. Base Change......Page 43
3.5. Local-Global Behavior and Consequences......Page 48
4.1. First Relations......Page 51
4.2. Picard Group Action and Ordering......Page 55
4.3. More Relations......Page 61
5.1. Basic Properties of Totally C-reflexive Modules......Page 67
5.2. Complete PPC-resolutions......Page 70
5.3. Base Change for Totally C-reflexive Modules......Page 73
5.4. Local-Global Principle for Totally C-reflexive Modules......Page 77
5.5. Co-base Change......Page 82
6.1. Definitions and Basic Properties of GC-dimension......Page 85
6.2. Stability Results......Page 90
6.3. Base Change for GC-dimension......Page 94
6.4. The AB-formula and Some Consequences......Page 95
6.5. More Relations between Semidualizing Modules......Page 100
A.1. Natural Maps......Page 103
A.2. Fidelity......Page 105
Index......Page 106
Bibliography......Page 107