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Publicação
Monoids and pointed S-protomodular categories
Orientador(es)
Resumo(s)
We investigate the notion of pointed S-protomodular category, with respect to a suitable class S of points, and we prove 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 S-split exact sequences, or the fact that a reflexive S-relation is transitive. The main examples of S-protomodular categories are the category of monoids and, more generally, any category of monoids with operations, where the class S is the class of Schreier points.
Descrição
Palavras-chave
Fibration of points Mal’tsev and protomodular categories Monoid with operations Schreier split epimorphism Pointed -protomodular category
Contexto Educativo
Citação
Editora
International Press of Boston
Licença CC
Sem licença CC