Free profinite locally idempotent and locally commutative semigroups

Detalhes bibliográficos
Autor(a) principal: Costa, José Carlos
Data de Publicação: 2001
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/1393
Resumo: This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications.
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spelling Free profinite locally idempotent and locally commutative semigroupsFree profinite semigroupsLocal semilattices20M0720M3568Q70Science & TechnologyThis paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications.North Atlantic Treaty Organization (NATO) - Gabinete de Relações Internacionais da Ciência e do Ensino Superior (INVOTAN) - 4/A/94/PO.Fundação para a Ciência e a Tecnologia (FCT) - Centro de Matemática da Universidade do Minho - Algebra, Geometry and Combinatory (AGC) - Praxis/2/2.1/MAT/63/94.ElsevierUniversidade do MinhoCosta, José Carlos20012001-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/1393eng"Journal of pure and applied algebra". ISSN 0022-4049. 163 (2001) 19-47.0022-404910.1016/S0022-4049(00)00176-6info: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:RCAAP2023-07-21T12:25:05Zoai:repositorium.sdum.uminho.pt:1822/1393Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:19:16.305670Repositório 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 Free profinite locally idempotent and locally commutative semigroups
title Free profinite locally idempotent and locally commutative semigroups
spellingShingle Free profinite locally idempotent and locally commutative semigroups
Costa, José Carlos
Free profinite semigroups
Local semilattices
20M07
20M35
68Q70
Science & Technology
title_short Free profinite locally idempotent and locally commutative semigroups
title_full Free profinite locally idempotent and locally commutative semigroups
title_fullStr Free profinite locally idempotent and locally commutative semigroups
title_full_unstemmed Free profinite locally idempotent and locally commutative semigroups
title_sort Free profinite locally idempotent and locally commutative semigroups
author Costa, José Carlos
author_facet Costa, José Carlos
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Costa, José Carlos
dc.subject.por.fl_str_mv Free profinite semigroups
Local semilattices
20M07
20M35
68Q70
Science & Technology
topic Free profinite semigroups
Local semilattices
20M07
20M35
68Q70
Science & Technology
description This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications.
publishDate 2001
dc.date.none.fl_str_mv 2001
2001-01-01T00:00:00Z
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/1822/1393
url http://hdl.handle.net/1822/1393
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of pure and applied algebra". ISSN 0022-4049. 163 (2001) 19-47.
0022-4049
10.1016/S0022-4049(00)00176-6
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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instacron_str RCAAP
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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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