Facets of congruence distributivity in Goursat categories

Bibliographic Details
Main Author: Gran, Marino
Publication Date: 2020
Other Authors: Rodelo, Diana, Nguefeu, Idriss Tchoffo
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/89452
https://doi.org/10.1016/j.jpaa.2020.106380
Summary: 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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spelling 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/articlehttps://hdl.handle.net/10316/89452https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-01T10:29:19Zoai:estudogeral.uc.pt:10316/89452Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:37:14.600078Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 https://hdl.handle.net/10316/89452
https://hdl.handle.net/10316/89452
https://doi.org/10.1016/j.jpaa.2020.106380
url https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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