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On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections

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datacite.subject.fosEngenharia e Tecnologia
datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorGray, J. R. A.
dc.contributor.authorMartins-Ferreira, Nelson
dc.date.accessioned2025-07-14T15:13:28Z
dc.date.available2025-07-14T15:13:28Z
dc.date.issued2015-06
dc.description.abstractWe characterize those varieties of universal algebras where every split epimorphism considered as a map of sets is a product projection. In addition we obtain new characterizations of semi-abelian, protomodular, unital and subtractive varieties as well as varieties of right Ω-loops and biternary systems.eng
dc.description.sponsorshipN. Martins-Ferreira’s research was supported by IPLeiria(ESTG/CDRSP) and FCT grant SFRH/BPD/43216/2008. Also by the FCT projects: PTDC/EME-CRO/120585/2010, PTDC/MAT/120222/2010 and PEst-OE/EME/UI4044/2013.
dc.identifier.citationGray, James & Martins-Ferreira, Nelson. (2012). On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections. Applied Categorical Structures. 23. 10.1007/s10485-013-9336-5.
dc.identifier.doi10.1007/s10485-013-9336-5
dc.identifier.issn0927-2852
dc.identifier.issn1572-9095
dc.identifier.urihttp://hdl.handle.net/10400.8/13634
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.relationDESCENT OF INTERNAL CATEGORIES RELATIVE TO SPLIT EPIS
dc.relationBioFab Toolbox
dc.relationCategorical Methods in Non Abelian Algebra
dc.relationStrategic Project - UI 4044 - 2013-2014
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s10485-013-9336-5
dc.relation.ispartofApplied Categorical Structures
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectalgebraic theories
dc.subjectprotomodular
dc.subjectright omega-loops
dc.subjectsemi-abelian
dc.subjectsplit epimorphisms
dc.subjectSplit extensions
dc.subjectsubtractive
dc.subjectunital
dc.titleOn Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projectionseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberSFRH/BPD/43216/2008
oaire.awardNumberPTDC/EME-CRO/120585/2010
oaire.awardNumberPTDC/MAT/120222/2010
oaire.awardNumberPEst-OE/EME/UI4044/2013
oaire.awardTitleDESCENT OF INTERNAL CATEGORIES RELATIVE TO SPLIT EPIS
oaire.awardTitleBioFab Toolbox
oaire.awardTitleCategorical Methods in Non Abelian Algebra
oaire.awardTitleStrategic Project - UI 4044 - 2013-2014
oaire.awardURIhttp://hdl.handle.net/10400.8/13633
oaire.awardURIhttp://hdl.handle.net/10400.8/13337
oaire.awardURIhttp://hdl.handle.net/10400.8/13336
oaire.awardURIhttp://hdl.handle.net/10400.8/13452
oaire.citation.endPage446
oaire.citation.issue3
oaire.citation.startPage429
oaire.citation.titleApplied Categorical Structures
oaire.citation.volume23
oaire.fundingStreamFARH
oaire.fundingStream5876-PPCDTI
oaire.fundingStream5876-PPCDTI
oaire.fundingStream6817 - DCRRNI ID
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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