Associate inverse subsemigroups of regular semigroups
Autor(a) principal: | |
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Data de Publicação: | 2009 |
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/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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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 |
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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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1799132761250856960 |