


Semidirect products and split short five lemma in algebraic categories



Description: 
N. Martins Ferreira and M. Sobral proved that, in a pointed regular category C, the split epimorphisms are equivalent to the internal actions if and only if C is protomodular and every internal action is strict. We will show that, even if C is not protomodular, the regular split epimorphisms (i.e. those such that the kernel and the section are jointly regularly epimorphic) are equivalent to the internal actions if and only if in C a particular case of split short five lemma holds. This is a joint work with Nelson Martins Ferreira and Manuela Sobral.

Date: 
20120220

Start Time: 
15:30 
Speaker: 
Andrea Montoli (CMUC)

Institution: 
CMUC

Place: 
Sala 5.5

Research Groups: 
Algebra, Logic and Topology

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