Free profinite locally idempotent and locally commutative semigroups
Autor(a) principal: | |
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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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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 |
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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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