Facets of congruence distributivity in Goursat categories

Detalhes bibliográficos
Autor(a) principal: Gran, Marino
Data de Publicação: 2020
Outros Autores: Rodelo, Diana, Nguefeu, Idriss Tchoffo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/16380
Resumo: We 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.
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spelling Facets of congruence distributivity in Goursat categoriesMal'tsev categoriesGoursat categoriesCongruence distributive varietiesShifting LemmaTriangular LemmaTrapezoid LemmaMathematicsWe 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.Centre for Mathematics of the University of Coimbra - Portuguese Government through FCT/MCTES [UIDB/00324/2020]Fonds de la Recherche Scientifique -FNRS Credit Sejour a l'etranger [2020/V 3/5/036 - 35714631 - JG/MF - 6977]ElsevierSapientiaGran, MarinoRodelo, DianaNguefeu, Idriss Tchoffo2022-03-01T01:30:13Z2020-102020-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/16380eng0022-404910.1016/j.jpaa.2020.106380info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:28:11Zoai:sapientia.ualg.pt:10400.1/16380Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:06:32.211423Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Facets of congruence distributivity in Goursat categories
title Facets of congruence distributivity in Goursat categories
spellingShingle Facets of congruence distributivity in Goursat categories
Gran, Marino
Mal'tsev categories
Goursat categories
Congruence distributive varieties
Shifting Lemma
Triangular Lemma
Trapezoid Lemma
Mathematics
title_short Facets of congruence distributivity in Goursat categories
title_full Facets of congruence distributivity in Goursat categories
title_fullStr Facets of congruence distributivity in Goursat categories
title_full_unstemmed Facets of congruence distributivity in Goursat categories
title_sort Facets of congruence distributivity in Goursat categories
author Gran, Marino
author_facet Gran, Marino
Rodelo, Diana
Nguefeu, Idriss Tchoffo
author_role author
author2 Rodelo, Diana
Nguefeu, Idriss Tchoffo
author2_role author
author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Gran, Marino
Rodelo, Diana
Nguefeu, Idriss Tchoffo
dc.subject.por.fl_str_mv Mal'tsev categories
Goursat categories
Congruence distributive varieties
Shifting Lemma
Triangular Lemma
Trapezoid Lemma
Mathematics
topic Mal'tsev categories
Goursat categories
Congruence distributive varieties
Shifting Lemma
Triangular Lemma
Trapezoid Lemma
Mathematics
description We 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.
publishDate 2020
dc.date.none.fl_str_mv 2020-10
2020-10-01T00:00:00Z
2022-03-01T01:30:13Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.1/16380
url http://hdl.handle.net/10400.1/16380
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-4049
10.1016/j.jpaa.2020.106380
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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