Schreier split epimorphisms between monoids

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

http://hdl.handle.net/10400.8/16355

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Autores

Bourn, Dominique

Martins-Ferreira, Nelson

Montoli, Andrea

Sobral, Manuela

Resumo(s)

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.

Palavras-chave

Internal relations Monoids Schreier split epimorphisms Split short five lemma

URI

http://hdl.handle.net/10400.8/16355

Citação

Bourn, D., Martins-Ferreira, N., Montoli, A., & Sobral, M. (2014). Schreier split epimorphisms between monoids. Semigroup Forum, 88(3), 739-752. https://doi.org/10.1007/s00233-014-9571-6