Comprehensive factorization and I-central extensions
Autor(a) principal: | |
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Data de Publicação: | 2012 |
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/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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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 instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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1799133265340137472 |