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Homological categories

  • Francis Borceux
  • Dominique Bourn
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 566)

Abstract

It is a classical attitude in many textbooks to prove the diagram lemmas of homo-logical algebra in the context of abelian categories. But these lemmas hold as well in, for example, the category of all groups: thus the question arises to characterize those algebraic varieties in which these lemmas are valid.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Francis Borceux
    • 1
  • Dominique Bourn
    • 2
  1. 1.Université de LouvainLouvain-la-NeuveBelgium
  2. 2.Université du LittoralCalaisFrance

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