A characterization of adequate semigroups by forbidden subsemigroups

Detalhes bibliográficos
Autor(a) principal: Araújo, João
Data de Publicação: 2013
Outros Autores: Kinyon, Michael, Malheiro, António
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/3803
Resumo: A semigroup is \emph{amiable} if there is exactly one idempotent in each R∗-class and in each L∗-class. A semigroup is \emph{adequate} if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups which do not contain isomorphic copies of two particular nonadequate semigroups as subsemigroups.
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spelling A characterization of adequate semigroups by forbidden subsemigroupsA semigroup is \emph{amiable} if there is exactly one idempotent in each R∗-class and in each L∗-class. A semigroup is \emph{adequate} if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups which do not contain isomorphic copies of two particular nonadequate semigroups as subsemigroups.Repositório AbertoAraújo, JoãoKinyon, MichaelMalheiro, António2015-03-24T09:34:25Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/3803engAraújo, João; Kinyon, Michael, Malheiro, António - A characterization of adequate semigroups by forbidden subsemigroups. "Proceedings of the Royal Society of Edinburgh" [Em linha]. ISSN 0370-1646. Vol. 143, nº 6 (2013), p. 1-70370-164610.1017/S030821051100182Xinfo: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:RCAAP2023-11-16T15:19:10Zoai:repositorioaberto.uab.pt:10400.2/3803Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:59.839701Repositório 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 A characterization of adequate semigroups by forbidden subsemigroups
title A characterization of adequate semigroups by forbidden subsemigroups
spellingShingle A characterization of adequate semigroups by forbidden subsemigroups
Araújo, João
title_short A characterization of adequate semigroups by forbidden subsemigroups
title_full A characterization of adequate semigroups by forbidden subsemigroups
title_fullStr A characterization of adequate semigroups by forbidden subsemigroups
title_full_unstemmed A characterization of adequate semigroups by forbidden subsemigroups
title_sort A characterization of adequate semigroups by forbidden subsemigroups
author Araújo, João
author_facet Araújo, João
Kinyon, Michael
Malheiro, António
author_role author
author2 Kinyon, Michael
Malheiro, António
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Araújo, João
Kinyon, Michael
Malheiro, António
description A semigroup is \emph{amiable} if there is exactly one idempotent in each R∗-class and in each L∗-class. A semigroup is \emph{adequate} if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups which do not contain isomorphic copies of two particular nonadequate semigroups as subsemigroups.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2015-03-24T09:34:25Z
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/10400.2/3803
url http://hdl.handle.net/10400.2/3803
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Araújo, João; Kinyon, Michael, Malheiro, António - A characterization of adequate semigroups by forbidden subsemigroups. "Proceedings of the Royal Society of Edinburgh" [Em linha]. ISSN 0370-1646. Vol. 143, nº 6 (2013), p. 1-7
0370-1646
10.1017/S030821051100182X
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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