Schreier split epimorphisms between monoids

Detalhes bibliográficos
Autor(a) principal: Bourn, Dominique
Data de Publicação: 2014
Outros Autores: Martins-Ferreira, Nelson, Montoli, Andrea, Sobral, Manuela
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44056
https://doi.org/10.1007/s00233-014-9571-6
Resumo: 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.
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spelling Schreier split epimorphisms between monoidsWe 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.Springer2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44056http://hdl.handle.net/10316/44056https://doi.org/10.1007/s00233-014-9571-6https://doi.org/10.1007/s00233-014-9571-6enghttps://doi.org/10.1007/s00233-014-9571-6Bourn, DominiqueMartins-Ferreira, NelsonMontoli, AndreaSobral, Manuelainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-06-29T10:02:50Zoai:estudogeral.uc.pt:10316/44056Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:31.439182Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Schreier split epimorphisms between monoids
title Schreier split epimorphisms between monoids
spellingShingle Schreier split epimorphisms between monoids
Bourn, Dominique
title_short Schreier split epimorphisms between monoids
title_full Schreier split epimorphisms between monoids
title_fullStr Schreier split epimorphisms between monoids
title_full_unstemmed Schreier split epimorphisms between monoids
title_sort Schreier split epimorphisms between monoids
author Bourn, Dominique
author_facet Bourn, Dominique
Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
author_role author
author2 Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
author2_role author
author
author
dc.contributor.author.fl_str_mv Bourn, Dominique
Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
description 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.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/44056
http://hdl.handle.net/10316/44056
https://doi.org/10.1007/s00233-014-9571-6
https://doi.org/10.1007/s00233-014-9571-6
url http://hdl.handle.net/10316/44056
https://doi.org/10.1007/s00233-014-9571-6
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1007/s00233-014-9571-6
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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