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Facets of congruence distributivity in Goursat categories

2020-10Journal article Restricted access
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dc.contributor.authorGran, Marino
dc.contributor.authorRodelo, Diana
dc.contributor.authorNguefeu, Idriss Tchoffo
dc.date.accessioned2021-06-24T11:35:14Z
dc.date.available2022-03-01T01:30:13Z
dc.date.issued2020-10
dc.description.abstractWe give new characterisations of regular Mal'tsev categories with distributive lattice of equivalence relations through variations of the so-called Triangular Lemma and Trapezoid Lemma in universal algebra. We then give new characterisations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the Triangular and Trapezoid Lemmas involving reflexive and positive relations. (C) 2020 Elsevier B.V. All rights reserved.
dc.description.sponsorshipCentre for Mathematics of the University of Coimbra - Portuguese Government through FCT/MCTES [UIDB/00324/2020]
dc.description.sponsorshipFonds de la Recherche Scientifique -FNRS Credit Sejour a l'etranger [2020/V 3/5/036 - 35714631 - JG/MF - 6977]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jpaa.2020.106380
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/10400.1/16380
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.subjectMal'tsev categories
dc.subjectGoursat categories
dc.subjectCongruence distributive varieties
dc.subjectShifting Lemma
dc.subjectTriangular Lemma
dc.subjectTrapezoid Lemma
dc.subject.otherMathematics
dc.titleFacets of congruence distributivity in Goursat categories
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue10
oaire.citation.startPage106380
oaire.citation.titleJournal of Pure and Applied Algebra
oaire.citation.volume224
person.familyNameRodelo
person.givenNameDiana
person.identifier.ciencia-id6C16-FCF9-64A0
person.identifier.orcid0000-0002-4816-3234
person.identifier.ridAFH-8267-2022
person.identifier.scopus-author-id8216708900
rcaap.rightsopenAccesspt_PT
rcaap.typearticle
relation.isAuthorOfPublication311bbe08-1f8a-4c84-87e7-23ddd55c89a3
relation.isAuthorOfPublication.latestForDiscovery311bbe08-1f8a-4c84-87e7-23ddd55c89a3

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