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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:  2012-02-20
Start Time:   15:30
Speaker:  Andrea Montoli (CMUC)
Institution:  CMUC
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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© 2012 Centre for Mathematics, University of Coimbra, funded by

Science and Technology Foundation

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