A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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/10316/43882 https://doi.org/10.1017/S0004972715000532 |
Resumo: | A paper of Almeida and Trotter [‘The pseudoidentity problem and reducibility for completely regular semigroups’, Bull. Aust. Math. Soc.63 (2001), 407–433] makes essential use of free profinite semigroupoids over profinite graphs with infinitely many vertices. It has since been shown that such structures must be handled with great care. In this note, it is verified that the required properties hold for the profinite graphs considered by Almeida and Trotter, thereby filling the gaps in the proof. |
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A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPSA paper of Almeida and Trotter [‘The pseudoidentity problem and reducibility for completely regular semigroups’, Bull. Aust. Math. Soc.63 (2001), 407–433] makes essential use of free profinite semigroupoids over profinite graphs with infinitely many vertices. It has since been shown that such structures must be handled with great care. In this note, it is verified that the required properties hold for the profinite graphs considered by Almeida and Trotter, thereby filling the gaps in the proof.Cambridge University Press2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43882http://hdl.handle.net/10316/43882https://doi.org/10.1017/S0004972715000532https://doi.org/10.1017/S0004972715000532enghttps://doi.org/10.1017/S0004972715000532Almeida, JorgeCosta, Alfredoinfo: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:RCAAP2021-06-29T10:03:06Zoai:estudogeral.uc.pt:10316/43882Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:28.534937Repositório 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 NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
title |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
spellingShingle |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS Almeida, Jorge |
title_short |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
title_full |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
title_fullStr |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
title_full_unstemmed |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
title_sort |
A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS |
author |
Almeida, Jorge |
author_facet |
Almeida, Jorge Costa, Alfredo |
author_role |
author |
author2 |
Costa, Alfredo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Almeida, Jorge Costa, Alfredo |
description |
A paper of Almeida and Trotter [‘The pseudoidentity problem and reducibility for completely regular semigroups’, Bull. Aust. Math. Soc.63 (2001), 407–433] makes essential use of free profinite semigroupoids over profinite graphs with infinitely many vertices. It has since been shown that such structures must be handled with great care. In this note, it is verified that the required properties hold for the profinite graphs considered by Almeida and Trotter, thereby filling the gaps in the proof. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 |
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/10316/43882 http://hdl.handle.net/10316/43882 https://doi.org/10.1017/S0004972715000532 https://doi.org/10.1017/S0004972715000532 |
url |
http://hdl.handle.net/10316/43882 https://doi.org/10.1017/S0004972715000532 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://doi.org/10.1017/S0004972715000532 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Cambridge University Press |
publisher.none.fl_str_mv |
Cambridge University Press |
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 |
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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1799133821579296768 |