


Monoids and pointed Sprotomodular categories



Description: 
We investigate the notion of pointed Sprotomodular category, with respect to a suitable class S of split epimorphisms, and we show that these categories satisfy, relatively to the class S, many partial aspects of the properties of Mal'tsev and protomodular categories, like the split short five lemma for the Ssplit exact sequences, or the fact that a reflexive Srelation is transitive. The main examples of Sprotomodular categories are the category of monoids and, more generally, any category of monoids with operations, where the class S is the class of Schreier split epimorphisms. Joint work with Dominique Bourn, Nelson MartinsFerreira and Manuela Sobral.

Date: 
20140318

Start Time: 
14:30 
Speaker: 
Andrea Montoli (CMUC, Univ. Coimbra)

Institution: 
CMUC, Universidade de Coimbra

Place: 
Sala 5.5

Research Groups: 
Algebra, Logic and Topology

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