


On the "Smith is Huq" condition in Sprotomodular categories



Description: 
We study the socalled "Smith is Huq" condition in the context of Sprotomodular categories: two Sequivalence relations centralise each other if and only if their normalisations commute. We prove that this condition is satisfied by every category of monoids with operations equipped with the class S of Schreier split epimorphisms. Some consequences in terms of characterisation of internal structures are explored. Joint work with Nelson Martins Ferreira.

Date: 
20150113

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

Institution: 
CMUC, Univ. Coimbra

Place: 
Room 5.5

Research Groups: 
Algebra, Logic and Topology

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