Associate inverse subsemigroups of regular semigroups

Detalhes bibliográficos
Autor(a) principal: Billhardt, Bernd
Data de Publicação: 2009
Outros Autores: Giraldes, E., Smith, M. Paula Marques, Martins, Paula Mendes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11096
Resumo: By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤S. We describe the structure of a regular semigroup with an associate inverse subsemigroup, satisfying two natural conditions. As a articular application, we obtain the structure of regular semigroups with an associate subgroup with medial identity element.
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spelling Associate inverse subsemigroups of regular semigroupsRegular semigroupAssociate inverse subsemigroupInverse transversalScience & TechnologyBy an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤S. We describe the structure of a regular semigroup with an associate inverse subsemigroup, satisfying two natural conditions. As a articular application, we obtain the structure of regular semigroups with an associate subgroup with medial identity element.Fundação para a Ciência e a Tecnologia (FCT)SpringerUniversidade do MinhoBillhardt, BerndGiraldes, E.Smith, M. Paula MarquesMartins, Paula Mendes20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11096eng"Semigroup Forum". ISSN 0037-1912. 79:1 (Aug. 2009) 101-118.0037-191210.1007/s00233-009-9150-4info: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:RCAAP2023-07-21T12:31:47Zoai:repositorium.sdum.uminho.pt:1822/11096Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:27:04.352298Repositório 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 Associate inverse subsemigroups of regular semigroups
title Associate inverse subsemigroups of regular semigroups
spellingShingle Associate inverse subsemigroups of regular semigroups
Billhardt, Bernd
Regular semigroup
Associate inverse subsemigroup
Inverse transversal
Science & Technology
title_short Associate inverse subsemigroups of regular semigroups
title_full Associate inverse subsemigroups of regular semigroups
title_fullStr Associate inverse subsemigroups of regular semigroups
title_full_unstemmed Associate inverse subsemigroups of regular semigroups
title_sort Associate inverse subsemigroups of regular semigroups
author Billhardt, Bernd
author_facet Billhardt, Bernd
Giraldes, E.
Smith, M. Paula Marques
Martins, Paula Mendes
author_role author
author2 Giraldes, E.
Smith, M. Paula Marques
Martins, Paula Mendes
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Billhardt, Bernd
Giraldes, E.
Smith, M. Paula Marques
Martins, Paula Mendes
dc.subject.por.fl_str_mv Regular semigroup
Associate inverse subsemigroup
Inverse transversal
Science & Technology
topic Regular semigroup
Associate inverse subsemigroup
Inverse transversal
Science & Technology
description By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤S. We describe the structure of a regular semigroup with an associate inverse subsemigroup, satisfying two natural conditions. As a articular application, we obtain the structure of regular semigroups with an associate subgroup with medial identity element.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
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 http://hdl.handle.net/1822/11096
url http://hdl.handle.net/1822/11096
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Semigroup Forum". ISSN 0037-1912. 79:1 (Aug. 2009) 101-118.
0037-1912
10.1007/s00233-009-9150-4
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.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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