Protolocalisations of homological categories

Detalhes bibliográficos
Autor(a) principal: Borceux, Francis
Data de Publicação: 2008
Outros Autores: Clementino, Maria Manuel, Gran, Marino, Sousa, Lurdes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4577
https://doi.org/10.1016/j.jpaa.2007.11.005
Resumo: A protolocalisation of a homological (resp. semi-abelian) category is a regular full reflective subcategory, whose reflection preserves short exact sequences. We study the closure operator and the torsion theory associated with such a situation. We pay special attention to the fibered, the regular epireflective and the monoreflective cases. We give examples in algebra, topos theory and functional analysis.
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spelling Protolocalisations of homological categoriesA protolocalisation of a homological (resp. semi-abelian) category is a regular full reflective subcategory, whose reflection preserves short exact sequences. We study the closure operator and the torsion theory associated with such a situation. We pay special attention to the fibered, the regular epireflective and the monoreflective cases. We give examples in algebra, topos theory and functional analysis.http://www.sciencedirect.com/science/article/B6V0K-4RN48M4-2/1/8f47e542c1c6a989386a75a9efb804282008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4577http://hdl.handle.net/10316/4577https://doi.org/10.1016/j.jpaa.2007.11.005engJournal of Pure and Applied Algebra. 212:8 (2008) 1898-1927Borceux, FrancisClementino, Maria ManuelGran, MarinoSousa, Lurdesinfo: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:RCAAP2020-11-06T16:49:11Zoai:estudogeral.uc.pt:10316/4577Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:41.040307Repositório 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 Protolocalisations of homological categories
title Protolocalisations of homological categories
spellingShingle Protolocalisations of homological categories
Borceux, Francis
title_short Protolocalisations of homological categories
title_full Protolocalisations of homological categories
title_fullStr Protolocalisations of homological categories
title_full_unstemmed Protolocalisations of homological categories
title_sort Protolocalisations of homological categories
author Borceux, Francis
author_facet Borceux, Francis
Clementino, Maria Manuel
Gran, Marino
Sousa, Lurdes
author_role author
author2 Clementino, Maria Manuel
Gran, Marino
Sousa, Lurdes
author2_role author
author
author
dc.contributor.author.fl_str_mv Borceux, Francis
Clementino, Maria Manuel
Gran, Marino
Sousa, Lurdes
description A protolocalisation of a homological (resp. semi-abelian) category is a regular full reflective subcategory, whose reflection preserves short exact sequences. We study the closure operator and the torsion theory associated with such a situation. We pay special attention to the fibered, the regular epireflective and the monoreflective cases. We give examples in algebra, topos theory and functional analysis.
publishDate 2008
dc.date.none.fl_str_mv 2008
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/10316/4577
http://hdl.handle.net/10316/4577
https://doi.org/10.1016/j.jpaa.2007.11.005
url http://hdl.handle.net/10316/4577
https://doi.org/10.1016/j.jpaa.2007.11.005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Pure and Applied Algebra. 212:8 (2008) 1898-1927
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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