Some remarks on connectors and groupoids in goursat categories

Detalhes bibliográficos
Autor(a) principal: Gran, Marino
Data de Publicação: 2017
Outros Autores: Nguefeu, Idriss Tchoffo, 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/10400.1/11985
Resumo: We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category Conn(C) of connectors in C is a Goursat category whenever C is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.
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spelling Some remarks on connectors and groupoids in goursat categoriesMalcev categories3-permutable varietiesShifting lemmaConnectorsGroupoidsWe prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category Conn(C) of connectors in C is a Goursat category whenever C is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.Portuguese Government through FCT/MCTES; European Regional Development FundTech Univ BraunschweigSapientiaGran, MarinoNguefeu, Idriss TchoffoRodelo, Diana2018-12-07T14:58:22Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11985eng1860-597410.23638/LMCS-13(3:14)2017info: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:RCAAP2023-07-24T10:23:54Zoai:sapientia.ualg.pt:10400.1/11985Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:24.841402Repositório 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 Some remarks on connectors and groupoids in goursat categories
title Some remarks on connectors and groupoids in goursat categories
spellingShingle Some remarks on connectors and groupoids in goursat categories
Gran, Marino
Malcev categories
3-permutable varieties
Shifting lemma
Connectors
Groupoids
title_short Some remarks on connectors and groupoids in goursat categories
title_full Some remarks on connectors and groupoids in goursat categories
title_fullStr Some remarks on connectors and groupoids in goursat categories
title_full_unstemmed Some remarks on connectors and groupoids in goursat categories
title_sort Some remarks on connectors and groupoids in goursat categories
author Gran, Marino
author_facet Gran, Marino
Nguefeu, Idriss Tchoffo
Rodelo, Diana
author_role author
author2 Nguefeu, Idriss Tchoffo
Rodelo, Diana
author2_role author
author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Gran, Marino
Nguefeu, Idriss Tchoffo
Rodelo, Diana
dc.subject.por.fl_str_mv Malcev categories
3-permutable varieties
Shifting lemma
Connectors
Groupoids
topic Malcev categories
3-permutable varieties
Shifting lemma
Connectors
Groupoids
description We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category Conn(C) of connectors in C is a Goursat category whenever C is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-12-07T14:58:22Z
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/10400.1/11985
url http://hdl.handle.net/10400.1/11985
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1860-5974
10.23638/LMCS-13(3:14)2017
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 Tech Univ Braunschweig
publisher.none.fl_str_mv Tech Univ Braunschweig
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
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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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