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On the "Smith is Huq" condition in S-protomodular categories
Description:  We study the so-called "Smith is Huq" condition in the context of S-protomodular categories: two S-equivalence 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:  2015-01-13
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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