Data di Pubblicazione:
2017
Citazione:
On the “Smith is Huq” Condition in S-Protomodular Categories / N. Martins Ferreira, A. Montoli. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 25:1(2017 Feb 01), pp. 59-75. [10.1007/s10485-015-9411-1]
Abstract:
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 associated normal subobjects 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Huq commuting morphisms; Monoids with operations; S-protomodular categories; Schreier split epimorphisms; Smith-Pedicchio centralising relations; Theoretical Computer Science; Computer Science (all)
Elenco autori:
N. Martins Ferreira, A. Montoli
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