An introduction to homological algebra
The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebra...
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Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | An introduction to homological algebra / Charles A. Weibel |
Publié : |
Cambridge, New York (N. Y.), Melbourne :
Cambridge University Press
, 1994 |
Description matérielle : | 1 vol. (XIV-450 p.) |
Collection : | Cambridge studies in advanced mathematics ; 38 |
Contenu : | Contient des exercices |
Sujets : | |
Documents associés : | Autre format:
An introduction to homological algebra |
- 1. Chain complexes.
- 2. Derived functions.
- 3. Tor and ext.
- 4. Homological dimension.
- 5. Spectral sequences.
- 6. Group homology and cohomology.
- 7. Lie algebra homology and cohomology.
- 8. Simplicial methods in homological algebra.
- 9. Hochschild and cyclic homology.
- 10. The derived category.
- A. Category theory language