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Protomodular categories

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

Abstract

This chapter introduces the concept of protomodular category. In this context, there is an intrinsic notion of normal subobject which, as everybody knows, plays an essential role in algebra. Any protomodular category with finite limits is Mal’cev. It will again appear that the fibration of points classifies the notion of protomodular category, but this time in terms of properties of the change of base functors instead of properties of the fibres.

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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