A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS

Detalhes bibliográficos
Autor(a) principal: Almeida, Jorge
Data de Publicação: 2015
Outros Autores: Costa, Alfredo
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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spelling 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
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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)
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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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