Semi-abelian categories

Part of the Mathematics and Its Applications book series (MAIA, volume 566)


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

  1. 1.Université de LouvainLouvain-la-NeuveBelgium
  2. 2.Université du LittoralCalaisFrance

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