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Categorical aspects of congruence distributivity

datacite.subject.sdg04:Educação de Qualidade
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg17:Parcerias para a Implementação dos Objetivos
dc.contributor.authorHoefnagel, Michael
dc.contributor.authorRodelo, Diana
dc.date.accessioned2026-05-13T08:48:15Z
dc.date.available2026-05-13T08:48:15Z
dc.date.issued2024-01-10
dc.description.abstractAbstract. We study a categorical condition on relations, which is a categorical formulation of Jónsson’s characterisation of congruence distributive varieties. Categories satisfying these conditions need not be varieties; for instance, the dual of the categories of topological spaces, ordered sets, G-sets, and the dual of any (pre)topos all provide us with examples.eng
dc.identifier.doi10.70930/tac/ugrides5
dc.identifier.issn1201-561X
dc.identifier.urihttp://hdl.handle.net/10400.1/28938
dc.language.isoeng
dc.peerreviewedyes
dc.publisherMount Allison University
dc.relationCenter for Mathematics, University of Coimbra
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectCongruence distributivity
dc.subjectMajority category
dc.subjectMal’tsev condition
dc.subjectN-permutability
dc.subjectRegular category
dc.subjectTrapezoid lemma
dc.titleCategorical aspects of congruence distributivityeng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberUIDB/00324/2020
oaire.awardTitleCenter for Mathematics, University of Coimbra
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00324%2F2020/PT
oaire.citation.endPage550
oaire.citation.issue17
oaire.citation.startPage531
oaire.citation.titleTheory and Applications of Categories
oaire.citation.volume41
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
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
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication311bbe08-1f8a-4c84-87e7-23ddd55c89a3
relation.isAuthorOfPublication.latestForDiscovery311bbe08-1f8a-4c84-87e7-23ddd55c89a3
relation.isProjectOfPublicationcc5c6f18-6c18-4a92-a774-29a0be2997f8
relation.isProjectOfPublication.latestForDiscoverycc5c6f18-6c18-4a92-a774-29a0be2997f8

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