Data di Pubblicazione:
2014
Citazione:
Schreier split epimorphisms between monoids / D. Bourn, N. Martins Ferreira, A. Montoli, M. Sobral. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - 88:3(2014 Jun), pp. 739-752. [10.1007/s00233-014-9571-6]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
internal relations; monoids; Schreier split epimorphisms; split short five lemma; algebra and number theory
Elenco autori:
D. Bourn, N. Martins Ferreira, A. Montoli, M. Sobral
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