Topological semi-abelian algebras

Detalhes bibliográficos
Autor(a) principal: Borceux, F.
Data de Publicação: 2005
Outros Autores: Clementino, Maria Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4633
Resumo: Given an algebraic theory whose category of models is semi-abelian, we study the category of topological models of and generalize to it most classical results on topological groups. In particular, is homological, which includes Barr regularity and forces the Mal'cev property. Every open subalgebra is closed and every quotient map is open. We devote special attention to the Hausdorff, compact, locally compact, connected, totally disconnected and profinite -algebras.
id RCAP_36c778d83b96dac954fa51254507bee9
oai_identifier_str oai:estudogeral.uc.pt:10316/4633
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Topological semi-abelian algebrasTopological algebraAlgebraic theorySemi-abelian categoryGiven an algebraic theory whose category of models is semi-abelian, we study the category of topological models of and generalize to it most classical results on topological groups. In particular, is homological, which includes Barr regularity and forces the Mal'cev property. Every open subalgebra is closed and every quotient map is open. We devote special attention to the Hausdorff, compact, locally compact, connected, totally disconnected and profinite -algebras.http://www.sciencedirect.com/science/article/B6W9F-4CB07X6-1/1/61cf6d089f1d054878b360422bce8da12005info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4633http://hdl.handle.net/10316/4633engAdvances in Mathematics. 190:2 (2005) 425-453Borceux, F.Clementino, Maria Manuelinfo: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:RCAAP2020-05-29T10:04:36Zoai:estudogeral.uc.pt:10316/4633Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:40.340741Repositório 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 Topological semi-abelian algebras
title Topological semi-abelian algebras
spellingShingle Topological semi-abelian algebras
Borceux, F.
Topological algebra
Algebraic theory
Semi-abelian category
title_short Topological semi-abelian algebras
title_full Topological semi-abelian algebras
title_fullStr Topological semi-abelian algebras
title_full_unstemmed Topological semi-abelian algebras
title_sort Topological semi-abelian algebras
author Borceux, F.
author_facet Borceux, F.
Clementino, Maria Manuel
author_role author
author2 Clementino, Maria Manuel
author2_role author
dc.contributor.author.fl_str_mv Borceux, F.
Clementino, Maria Manuel
dc.subject.por.fl_str_mv Topological algebra
Algebraic theory
Semi-abelian category
topic Topological algebra
Algebraic theory
Semi-abelian category
description Given an algebraic theory whose category of models is semi-abelian, we study the category of topological models of and generalize to it most classical results on topological groups. In particular, is homological, which includes Barr regularity and forces the Mal'cev property. Every open subalgebra is closed and every quotient map is open. We devote special attention to the Hausdorff, compact, locally compact, connected, totally disconnected and profinite -algebras.
publishDate 2005
dc.date.none.fl_str_mv 2005
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/10316/4633
http://hdl.handle.net/10316/4633
url http://hdl.handle.net/10316/4633
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Advances in Mathematics. 190:2 (2005) 425-453
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/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
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
_version_ 1799133897104031744

Registros relacionados