Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44056
Title: Schreier split epimorphisms between monoids
Authors: Bourn, Dominique 
Martins-Ferreira, Nelson 
Montoli, Andrea 
Sobral, Manuela 
Issue Date: 2014
Publisher: Springer
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
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.
URI: http://hdl.handle.net/10316/44056
Other Identifiers: 10.1007/s00233-014-9571-6
DOI: 10.1007/s00233-014-9571-6
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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