A carregar...
Publicação
On the “Smith is Huq” Condition in S-Protomodular Categories
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 997.63 KB | Adobe PDF |
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Smith-Pedicchio centralising relations Huq commuting morphisms S-protomodular categories Monoids with operations Schreier split epimorphisms
Contexto Educativo
Citação
Martins-Ferreira, N., Montoli, A. On the “Smith is Huq” Condition in S-Protomodular Categories. Appl Categor Struct 25, 59–75 (2017). https://doi.org/10.1007/s10485-015-9411-1
Editora
Springer Science and Business Media LLC
Licença CC
Sem licença CC