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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Détails bibliographiques
Auteur principal : Weibel Charles A. (Auteur)
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