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Introduction to Homological Algebra

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Author(s): Sze-Tsen Hu
Series: Holden-Day Series in Mathematics
Publisher: Holden-Day
Year: 1968

Language: English

Title
Preface
Contents
Special symbols and abbreviations
I: Modules
1. Definitions and examples
2. Homomorphisms
3. Direct products and direct sums
4. Free modules
5. Exact sequences
6. Semi-exact sequences
7. Tensor products
8. Modules of homomorphisms
9. Projective modules
10. Injective modules
II: Categories and functors
1. Semigroupoids
2. Categories
3. Functors
4. Transformations of functors
5. Functors of modules
6. Satellites
III: Tor_n and Ext^n
1. Resolutions
2. Torsion functors
3. Extension functors
4. Dimensions
5. Universal coefficient theorems
6. The Künneth formula
7. Cross products
Bibliography
Index