Some remarks on protolocalizations and protoadditive reflections
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/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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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) 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 |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
repository.mail.fl_str_mv |
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1799133992279080961 |