Reducibility vs. definability for pseudovarieties of semigroups

Detalhes bibliográficos
Autor(a) principal: Almeida, J
Data de Publicação: 2016
Outros Autores: Klima, O
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/107489
Resumo: It is easy to show that a pseudovariety which is reducible with respect to an implicit signature sigma for the equation x = y can also be defined by sigma-identities. We present several negative examples for the converse using signatures in which the pseudovarieties are usually defined. An ordered example issue from the extended Straubing-Therien hierarchy of regular languages is also shown to provide a positive example for the inequality x <= y.
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spelling Reducibility vs. definability for pseudovarieties of semigroupsIt is easy to show that a pseudovariety which is reducible with respect to an implicit signature sigma for the equation x = y can also be defined by sigma-identities. We present several negative examples for the converse using signatures in which the pseudovarieties are usually defined. An ordered example issue from the extended Straubing-Therien hierarchy of regular languages is also shown to provide a positive example for the inequality x <= y.20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/107489eng0218-196710.1142/s0218196716500648Almeida, JKlima, Oinfo: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:RCAAP2023-11-29T15:02:54Zoai:repositorio-aberto.up.pt:10216/107489Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:14:25.642473Repositório 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 Reducibility vs. definability for pseudovarieties of semigroups
title Reducibility vs. definability for pseudovarieties of semigroups
spellingShingle Reducibility vs. definability for pseudovarieties of semigroups
Almeida, J
title_short Reducibility vs. definability for pseudovarieties of semigroups
title_full Reducibility vs. definability for pseudovarieties of semigroups
title_fullStr Reducibility vs. definability for pseudovarieties of semigroups
title_full_unstemmed Reducibility vs. definability for pseudovarieties of semigroups
title_sort Reducibility vs. definability for pseudovarieties of semigroups
author Almeida, J
author_facet Almeida, J
Klima, O
author_role author
author2 Klima, O
author2_role author
dc.contributor.author.fl_str_mv Almeida, J
Klima, O
description It is easy to show that a pseudovariety which is reducible with respect to an implicit signature sigma for the equation x = y can also be defined by sigma-identities. We present several negative examples for the converse using signatures in which the pseudovarieties are usually defined. An ordered example issue from the extended Straubing-Therien hierarchy of regular languages is also shown to provide a positive example for the inequality x <= y.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/107489
url https://hdl.handle.net/10216/107489
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0218-1967
10.1142/s0218196716500648
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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