Bourn, DominiqueMartins-Ferreira, NelsonMontoli, AndreaSobral, Manuela2026-05-272026-05-272014-03-20Bourn, 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/s00233-014-9571-60037-19121432-2137http://hdl.handle.net/10400.8/16355We 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.engInternal relationsMonoidsSchreier split epimorphismsSplit short five lemmajournal article10.1007/s00233-014-9571-6