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Semi-abelian categories

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

Abstract

Chapter 4 put full emphasize on the notion of homological category, in which all traditional homological lemmas hold. In a finitely cocomplete Mal’cev category, we obtained results concerning commutators. With always in mind the generic example of the category of groups, we present here the notion of semi-abelian category, introduced in [60]: these categories constitute a context in which both aspects above can be developed. Unexpectedly, in this context, the notion of semi-direct product emerges naturally.

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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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