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Schreier split epimorphisms between monoids

2014-03-20Artigo científico Acesso restrito
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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.sdg04:Educação de Qualidade
dc.contributor.authorBourn, Dominique
dc.contributor.authorMartins-Ferreira, Nelson
dc.contributor.authorMontoli, Andrea
dc.contributor.authorSobral, Manuela
dc.date.accessioned2026-05-27T12:57:18Z
dc.date.available2026-05-27T12:57:18Z
dc.date.issued2014-03-20
dc.description.abstractWe 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.eng
dc.description.sponsorshipThis work was partially supported by the Centro de Matemática da Universidade de Coimbra (CMUC), funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT- Fundação para a Ciência e aTecnologia under the project PEst-C/MAT/UI0324/2013 and grants number PTDC/MAT/120222/2010 and SFRH/BPD/69661/2010, and also by ESTG and CDRSP from the Polytechnical Institute of Leiria.
dc.identifier.citationBourn, 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
dc.identifier.doi10.1007/s00233-014-9571-6
dc.identifier.issn0037-1912
dc.identifier.issn1432-2137
dc.identifier.urihttp://hdl.handle.net/10400.8/16355
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relationStrategic Project - UI 324 - 2013-2014
dc.relationCategorical Methods in Non Abelian Algebra
dc.relationNON ABELIAN HOMOLOGY AND COHOMOLOGY IN ACTION ACCESSIBLE CATEGORIES
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s00233-014-9571-6
dc.relation.ispartofSemigroup Forum
dc.rights.uriN/A
dc.subjectInternal relations
dc.subjectMonoids
dc.subjectSchreier split epimorphisms
dc.subjectSplit short five lemma
dc.titleSchreier split epimorphisms between monoidseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberPEst-C/MAT/UI0324/2013
oaire.awardNumberPTDC/MAT/120222/2010
oaire.awardNumberSFRH/BPD/69661/2010
oaire.awardTitleStrategic Project - UI 324 - 2013-2014
oaire.awardTitleCategorical Methods in Non Abelian Algebra
oaire.awardTitleNON ABELIAN HOMOLOGY AND COHOMOLOGY IN ACTION ACCESSIBLE CATEGORIES
oaire.awardURIhttp://hdl.handle.net/10400.8/16353
oaire.awardURIhttp://hdl.handle.net/10400.8/13336
oaire.awardURIhttp://hdl.handle.net/10400.8/16354
oaire.citation.endPage752
oaire.citation.issue3
oaire.citation.startPage739
oaire.citation.titleSemigroup Forum
oaire.citation.volume88
oaire.fundingStreamConcurso para Financiamento de Projectos de IC&DT Estratégicos e de Interesse Público promovidos por Laboratórios Associados e Unidades de I&D - 2013 - COMPETE
oaire.fundingStream5876-PPCDTI
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMartins-Ferreira
person.givenNameNelson
person.identifier485301
person.identifier.ciencia-idB115-B65E-24AA
person.identifier.orcid0000-0002-4199-7367
person.identifier.ridN-1699-2013
person.identifier.scopus-author-id24598020700
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relation.isAuthorOfPublication.latestForDiscovery52406f6a-2c36-4e9a-9996-d3cc719d46bf
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