Orthogonality and closure operators

Detalhes bibliográficos
Autor(a) principal: Sousa, Lurdes
Data de Publicação: 1995
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.19/2853
Resumo: Given a full and replete subcategory A of a category X, we present a new closure operator, which allows a characterization of the class of all morphisms to which A is orthogonal and of the orthogonal hull of A by means of density and closedness, respectively. Using this characterization, we obtain, inter alia, conditions under which the orthogonal hull coincides with the reflective hull of A. We also explore the relationship between the closure operator introduced here and the regular closure operator.
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spelling Orthogonality and closure operatorsreflective hullorthogonal hullorthogonal closure operatorGiven a full and replete subcategory A of a category X, we present a new closure operator, which allows a characterization of the class of all morphisms to which A is orthogonal and of the orthogonal hull of A by means of density and closedness, respectively. Using this characterization, we obtain, inter alia, conditions under which the orthogonal hull coincides with the reflective hull of A. We also explore the relationship between the closure operator introduced here and the regular closure operator.Repositório Científico do Instituto Politécnico de ViseuSousa, Lurdes2015-06-30T08:17:33Z19951995-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/2853eng0008-0004metadata only accessinfo: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:RCAAP2023-01-16T15:26:10Zoai:repositorio.ipv.pt:10400.19/2853Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:41:58.538359Repositório 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 Orthogonality and closure operators
title Orthogonality and closure operators
spellingShingle Orthogonality and closure operators
Sousa, Lurdes
reflective hull
orthogonal hull
orthogonal closure operator
title_short Orthogonality and closure operators
title_full Orthogonality and closure operators
title_fullStr Orthogonality and closure operators
title_full_unstemmed Orthogonality and closure operators
title_sort Orthogonality and closure operators
author Sousa, Lurdes
author_facet Sousa, Lurdes
author_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Sousa, Lurdes
dc.subject.por.fl_str_mv reflective hull
orthogonal hull
orthogonal closure operator
topic reflective hull
orthogonal hull
orthogonal closure operator
description Given a full and replete subcategory A of a category X, we present a new closure operator, which allows a characterization of the class of all morphisms to which A is orthogonal and of the orthogonal hull of A by means of density and closedness, respectively. Using this characterization, we obtain, inter alia, conditions under which the orthogonal hull coincides with the reflective hull of A. We also explore the relationship between the closure operator introduced here and the regular closure operator.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01T00:00:00Z
2015-06-30T08:17:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.19/2853
url http://hdl.handle.net/10400.19/2853
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0008-0004
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