Protomodularity, descent, and semidirect products

D. Bourn and G. Janelidze

Using descent theory we give various forms of short five-lemma in protomodular categories, known in the case of exact protomodular categories. We also describe the situation where the notion of a semidirect product can be defined categorically.
 
Theory and Applications of Categories, Vol. 4, 1998, No. 2, 37-46
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