
Divisor Theory in Module Categories
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Content
- Front Cover
- Divisor Theory in Module Categories
- Copyright Page
- Table of Contents
- Preface
- Chapter 1. Local Algebra
- 1.1. Noetherian and Coherent Rings
- 1.2. Local Rings
- 1.3. Flatness
- 1.4. Fitting's Invariants
- Chapter 2. Homology of Local Rings
- 2.1. Koszul Complexes
- 2.2. Depth
- 2.3. Macaulay Rings
- 2.4. Projective and Injective Dimensions
- 2.5. Euler Characteristics of Modules
- 2.6. Gorenstein Rings
- Appendix. Rings of Type One
- Chapter 3. Divisorial Ideals
- 3.1. Composition in Id(A)
- 3.2. Divisors
- 3.3. Modules of Dimension one
- Appendix. Higher Divisorial Ideals
- Chapter 4. Spherical Modules and Divisors
- 4.1. A Theorem of Gruson
- 4.2. Change of Rings and Dimensions
- 4.3. Spherical Modules
- 4.4. Elementary Properties
- 4.5. Resolutions and Divisors
- Chapter 5. I - divisors
- 5.1. Construction
- 5.2. Euler Characteristics of Inj(A)
- 5.3. Divisors on Inj (A)
- Bibliography
- Index
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