Some remarks on protolocalizations and protoadditive reflections

Detalhes bibliográficos
Autor(a) principal: Clementino, Maria Manuel
Data de Publicação: 2018
Outros Autores: Gran, Marino, Janelidze, George
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/89422
https://doi.org/10.1142/S0219498818502079
Resumo: We investigate additional properties of protolocalizations, introduced and studied by Borceux, Clementino, Gran, and Sousa, and of protoadditive reflections, introduced and studied by Everaert and Gran. Among other things, we show that there are no nontrivial (protolocalizations and) protoadditive reflections of the category of groups, and establish a connection between protolocalizations and Kurosh–Amitsur radicals of groups with multiple operators whose semisimple classes form subvarieties.
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spelling Some remarks on protolocalizations and protoadditive reflectionsLocalization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.We investigate additional properties of protolocalizations, introduced and studied by Borceux, Clementino, Gran, and Sousa, and of protoadditive reflections, introduced and studied by Everaert and Gran. Among other things, we show that there are no nontrivial (protolocalizations and) protoadditive reflections of the category of groups, and establish a connection between protolocalizations and Kurosh–Amitsur radicals of groups with multiple operators whose semisimple classes form subvarieties.World Scientific Publishing2018-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89422http://hdl.handle.net/10316/89422https://doi.org/10.1142/S0219498818502079enghttp://www.worldscientific.com/doi/pdf/10.1142/S0219498818502079Clementino, Maria ManuelGran, MarinoJanelidze, Georgeinfo: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:RCAAP2022-05-25T01:31:48Zoai:estudogeral.uc.pt:10316/89422Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:44.682511Repositório 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 Some remarks on protolocalizations and protoadditive reflections
title Some remarks on protolocalizations and protoadditive reflections
spellingShingle Some remarks on protolocalizations and protoadditive reflections
Clementino, Maria Manuel
Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.
title_short Some remarks on protolocalizations and protoadditive reflections
title_full Some remarks on protolocalizations and protoadditive reflections
title_fullStr Some remarks on protolocalizations and protoadditive reflections
title_full_unstemmed Some remarks on protolocalizations and protoadditive reflections
title_sort Some remarks on protolocalizations and protoadditive reflections
author Clementino, Maria Manuel
author_facet Clementino, Maria Manuel
Gran, Marino
Janelidze, George
author_role author
author2 Gran, Marino
Janelidze, George
author2_role author
author
dc.contributor.author.fl_str_mv Clementino, Maria Manuel
Gran, Marino
Janelidze, George
dc.subject.por.fl_str_mv Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.
topic Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.
description We investigate additional properties of protolocalizations, introduced and studied by Borceux, Clementino, Gran, and Sousa, and of protoadditive reflections, introduced and studied by Everaert and Gran. Among other things, we show that there are no nontrivial (protolocalizations and) protoadditive reflections of the category of groups, and establish a connection between protolocalizations and Kurosh–Amitsur radicals of groups with multiple operators whose semisimple classes form subvarieties.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
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/10316/89422
http://hdl.handle.net/10316/89422
https://doi.org/10.1142/S0219498818502079
url http://hdl.handle.net/10316/89422
https://doi.org/10.1142/S0219498818502079
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.worldscientific.com/doi/pdf/10.1142/S0219498818502079
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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