Howson's Property for Semidirect Products of Semilattices by Groups

Detalhes bibliográficos
Autor(a) principal: Pedro V. Silva
Data de Publicação: 2016
Outros Autores: Filipa Soares
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/110899
Resumo: An inverse semigroup S is a Howson inverse semigroup if the intersection of finitely generated inverse subsemigroups of S is finitely generated. Given a locally finite action of a group G on a semilattice E, it is proved that E*G is a Howson inverse semigroup if and only if G is a Howson group. It is also shown that this equivalence fails for arbitrary actions.
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spelling Howson's Property for Semidirect Products of Semilattices by GroupsAn inverse semigroup S is a Howson inverse semigroup if the intersection of finitely generated inverse subsemigroups of S is finitely generated. Given a locally finite action of a group G on a semilattice E, it is proved that E*G is a Howson inverse semigroup if and only if G is a Howson group. It is also shown that this equivalence fails for arbitrary actions.20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/110899eng0092-787210.1080/00927872.2015.1053903Pedro V. SilvaFilipa Soaresinfo: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:RCAAP2023-11-29T13:36:17Zoai:repositorio-aberto.up.pt:10216/110899Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:43:36.647193Repositório 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 Howson's Property for Semidirect Products of Semilattices by Groups
title Howson's Property for Semidirect Products of Semilattices by Groups
spellingShingle Howson's Property for Semidirect Products of Semilattices by Groups
Pedro V. Silva
title_short Howson's Property for Semidirect Products of Semilattices by Groups
title_full Howson's Property for Semidirect Products of Semilattices by Groups
title_fullStr Howson's Property for Semidirect Products of Semilattices by Groups
title_full_unstemmed Howson's Property for Semidirect Products of Semilattices by Groups
title_sort Howson's Property for Semidirect Products of Semilattices by Groups
author Pedro V. Silva
author_facet Pedro V. Silva
Filipa Soares
author_role author
author2 Filipa Soares
author2_role author
dc.contributor.author.fl_str_mv Pedro V. Silva
Filipa Soares
description An inverse semigroup S is a Howson inverse semigroup if the intersection of finitely generated inverse subsemigroups of S is finitely generated. Given a locally finite action of a group G on a semilattice E, it is proved that E*G is a Howson inverse semigroup if and only if G is a Howson group. It is also shown that this equivalence fails for arbitrary actions.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/110899
url https://hdl.handle.net/10216/110899
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0092-7872
10.1080/00927872.2015.1053903
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dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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