Comprehensive factorization and I-central extensions

Detalhes bibliográficos
Autor(a) principal: Bourn, Dominique
Data de Publicação: 2012
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/10400.1/11660
Resumo: We show that, for a regular reflection functor I between efficiently regular categories, the reflection of an extension to an I-central extension is reduced to the comprehensive factorization of an explicit internal functor. We then analyse the Mal'tsev context where similar results are obtained under weaker conditions on I. (C) 2011 Elsevier B.V. All rights reserved.
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spelling Comprehensive factorization and I-central extensionsMalcev CategoriesGalois TheoryMaltsev CategoriesCommutator TheoryGroupoidsWe show that, for a regular reflection functor I between efficiently regular categories, the reflection of an extension to an I-central extension is reduced to the comprehensive factorization of an explicit internal functor. We then analyse the Mal'tsev context where similar results are obtained under weaker conditions on I. (C) 2011 Elsevier B.V. All rights reserved.FCT/Centro de Matematica da Universidade de CoimbraElsevier Science BvSapientiaBourn, DominiqueRodelo, Diana2018-12-07T14:53:44Z2012-032012-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11660eng0022-404910.1016/j.jpaa.2011.07.013info: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:RCAAP2023-07-24T10:23:30Zoai:sapientia.ualg.pt:10400.1/11660Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:08.201097Repositório 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 Comprehensive factorization and I-central extensions
title Comprehensive factorization and I-central extensions
spellingShingle Comprehensive factorization and I-central extensions
Bourn, Dominique
Malcev Categories
Galois Theory
Maltsev Categories
Commutator Theory
Groupoids
title_short Comprehensive factorization and I-central extensions
title_full Comprehensive factorization and I-central extensions
title_fullStr Comprehensive factorization and I-central extensions
title_full_unstemmed Comprehensive factorization and I-central extensions
title_sort Comprehensive factorization and I-central extensions
author Bourn, Dominique
author_facet Bourn, Dominique
Rodelo, Diana
author_role author
author2 Rodelo, Diana
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Bourn, Dominique
Rodelo, Diana
dc.subject.por.fl_str_mv Malcev Categories
Galois Theory
Maltsev Categories
Commutator Theory
Groupoids
topic Malcev Categories
Galois Theory
Maltsev Categories
Commutator Theory
Groupoids
description We show that, for a regular reflection functor I between efficiently regular categories, the reflection of an extension to an I-central extension is reduced to the comprehensive factorization of an explicit internal functor. We then analyse the Mal'tsev context where similar results are obtained under weaker conditions on I. (C) 2011 Elsevier B.V. All rights reserved.
publishDate 2012
dc.date.none.fl_str_mv 2012-03
2012-03-01T00:00:00Z
2018-12-07T14:53:44Z
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/10400.1/11660
url http://hdl.handle.net/10400.1/11660
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-4049
10.1016/j.jpaa.2011.07.013
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 Science Bv
publisher.none.fl_str_mv Elsevier Science Bv
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
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