Applied Categorical Structures

, Volume 23, Issue 6, pp 753–776 | Cite as

Normalizers and Split Extensions



We make explicit a larger structural phenomenon hidden behind the existence of normalizers in terms of existence of certain precartesian maps related to the kernel functor.


Categorical algebra Algebraic theory Normalizer Split extension Fibration of points Protomodular category Mal’tsev category Unital category Topological algebra 

Mathematics Subject Classifications (2010)

18A05 18B99 08C05 08A30 08A99 22A05 


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© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Pures et AppliquéesUniversité du LittoralCalais CedexFrance
  2. 2.University of South AfricaPretoriaSouth Africa

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