τ-complemented and τ-supplemented modules

Detalhes bibliográficos
Autor(a) principal: Christian Lomp
Data de Publicação: 2006
Outros Autores: Robert Wisbauer, Khaled Al-Takhman
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/25781
Resumo: Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphism and this observations were extended to modules by Stenstr\"om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.
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spelling τ-complemented and τ-supplemented modulesÁlgebra, MatemáticaAlgebra, MathematicsProper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphism and this observations were extended to modules by Stenstr\"om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/25781eng1726-3255Christian LompRobert WisbauerKhaled Al-Takhmaninfo: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:RCAAP2023-11-29T14:34:20Zoai:repositorio-aberto.up.pt:10216/25781Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:04:14.076269Repositório 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 τ-complemented and τ-supplemented modules
title τ-complemented and τ-supplemented modules
spellingShingle τ-complemented and τ-supplemented modules
Christian Lomp
Álgebra, Matemática
Algebra, Mathematics
title_short τ-complemented and τ-supplemented modules
title_full τ-complemented and τ-supplemented modules
title_fullStr τ-complemented and τ-supplemented modules
title_full_unstemmed τ-complemented and τ-supplemented modules
title_sort τ-complemented and τ-supplemented modules
author Christian Lomp
author_facet Christian Lomp
Robert Wisbauer
Khaled Al-Takhman
author_role author
author2 Robert Wisbauer
Khaled Al-Takhman
author2_role author
author
dc.contributor.author.fl_str_mv Christian Lomp
Robert Wisbauer
Khaled Al-Takhman
dc.subject.por.fl_str_mv Álgebra, Matemática
Algebra, Mathematics
topic Álgebra, Matemática
Algebra, Mathematics
description Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphism and this observations were extended to modules by Stenstr\"om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
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 https://hdl.handle.net/10216/25781
url https://hdl.handle.net/10216/25781
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1726-3255
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.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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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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