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Schreier split epimorphisms between monoids

Publication . Bourn, Dominique; Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela

We explore some properties of Schreier split epimorphisms between monoids, which correspond to monoid actions. In particular, we prove that the split short five lemma holds for monoids, when it is restricted to Schreier split epimorphisms, and that any Schreier reflexive relation is transitive, partially recovering in monoids a classical property of Mal'tsev varieties.

2014-03-20Artigo científico

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Palavras-chave

, Exact sciences ,Exact sciences/Mathematics

Entidade financiadora

Fundação para a Ciência e a Tecnologia, I.P.

Número da atribuição

SFRH/BPD/69661/2010