Facets of congruence distributivity in Goursat categories
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/89452 https://doi.org/10.1016/j.jpaa.2020.106380 |
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. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Facets of congruence distributivity in Goursat categoriesMal'tsev categories; Goursat categories; Congruence distributive varieties; Shifting Lemma; Triangular Lemma; Trapezoid LemmaWe 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.Elsevier2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89452http://hdl.handle.net/10316/89452https://doi.org/10.1016/j.jpaa.2020.106380enghttps://www.sciencedirect.com/science/article/pii/S0022404920300785Gran, MarinoRodelo, DianaNguefeu, Idriss Tchoffoinfo: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:RCAAP2022-05-25T01:34:44Zoai:estudogeral.uc.pt:10316/89452Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:45.721333Repositório 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 |
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.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 |
topic |
Mal'tsev categories; Goursat categories; Congruence distributive varieties; Shifting Lemma; Triangular Lemma; Trapezoid Lemma |
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. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020 |
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/10316/89452 http://hdl.handle.net/10316/89452 https://doi.org/10.1016/j.jpaa.2020.106380 |
url |
http://hdl.handle.net/10316/89452 https://doi.org/10.1016/j.jpaa.2020.106380 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://www.sciencedirect.com/science/article/pii/S0022404920300785 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
repository.mail.fl_str_mv |
|
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1799133992894595072 |