A characterization of adequate semigroups by forbidden subsemigroups
Autor(a) principal: | |
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Data de Publicação: | 2013 |
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/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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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 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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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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