Beck–Chevalley condition and Goursat categories

Detalhes bibliográficos
Autor(a) principal: Gran, Marino
Data de Publicação: 2017
Outros Autores: Rodelo, Diana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/89464
https://doi.org/10.1016/j.jpaa.2016.12.031
Resumo: We characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck–Chevalley condition, with respect to the fibration of points, for a special class of commutative squares. In the case of varieties of universal algebras these results give, in particular, a structural explanation of the existence of the ternary operations characterising 3-permutable varieties of universal algebras.
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spelling Beck–Chevalley condition and Goursat categoriesWe characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck–Chevalley condition, with respect to the fibration of points, for a special class of commutative squares. In the case of varieties of universal algebras these results give, in particular, a structural explanation of the existence of the ternary operations characterising 3-permutable varieties of universal algebras.Elsevier2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89464http://hdl.handle.net/10316/89464https://doi.org/10.1016/j.jpaa.2016.12.031enghttps://www.sciencedirect.com/science/article/pii/S0022404916302389Gran, MarinoRodelo, Dianainfo: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:RCAAP2022-05-25T03:06:05Zoai:estudogeral.uc.pt:10316/89464Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:46.114561Repositório 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 Beck–Chevalley condition and Goursat categories
title Beck–Chevalley condition and Goursat categories
spellingShingle Beck–Chevalley condition and Goursat categories
Gran, Marino
title_short Beck–Chevalley condition and Goursat categories
title_full Beck–Chevalley condition and Goursat categories
title_fullStr Beck–Chevalley condition and Goursat categories
title_full_unstemmed Beck–Chevalley condition and Goursat categories
title_sort Beck–Chevalley condition and Goursat categories
author Gran, Marino
author_facet Gran, Marino
Rodelo, Diana
author_role author
author2 Rodelo, Diana
author2_role author
dc.contributor.author.fl_str_mv Gran, Marino
Rodelo, Diana
description We characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck–Chevalley condition, with respect to the fibration of points, for a special class of commutative squares. In the case of varieties of universal algebras these results give, in particular, a structural explanation of the existence of the ternary operations characterising 3-permutable varieties of universal algebras.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/89464
http://hdl.handle.net/10316/89464
https://doi.org/10.1016/j.jpaa.2016.12.031
url http://hdl.handle.net/10316/89464
https://doi.org/10.1016/j.jpaa.2016.12.031
dc.language.iso.fl_str_mv eng
language eng
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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)
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