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

2015-06Journal article Restricted access
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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.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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