Pointlike reducibility of pseudovarieties of the form V*D

Detalhes bibliográficos
Autor(a) principal: Costa, José Carlos
Data de Publicação: 2016
Outros Autores: Nogueira, Conceição, Teixeira, M. L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/39235
Resumo: In this paper, we investigate the reducibility property of semidirect products of the form V *D relatively to (pointlike) systems of equations of the form x1 =...= xn, where D denotes the pseudovariety of definite semigroups. We establish a connection between pointlike reducibility of V*D and the pointlike reducibility of the pseudovariety V. In particular, for the canonical signature consisting of the multiplication and the (omega-1)-power, we show that V*D is pointlike-reducible when V is pointlike-reducible.
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spelling Pointlike reducibility of pseudovarieties of the form V*DSemigroupPseudovarietySemidirect productImplicit signaturePointlikeEquationsReducibilityCiências Naturais::MatemáticasCiências Naturais::Ciências da Computação e da InformaçãoScience & TechnologyIn this paper, we investigate the reducibility property of semidirect products of the form V *D relatively to (pointlike) systems of equations of the form x1 =...= xn, where D denotes the pseudovariety of definite semigroups. We establish a connection between pointlike reducibility of V*D and the pointlike reducibility of the pseudovariety V. In particular, for the canonical signature consisting of the multiplication and the (omega-1)-power, we show that V*D is pointlike-reducible when V is pointlike-reducible.European Regional Development Fund, through the programme COMPETEThis work was supported by the European Regional Development Fund, through the programme COMPETE, and by the Portuguese Government through FCT – Fundação para a Ciência e a Tecnologia, under the project PEst-C/MAT/UI0013/2014.World Scientific and Engineering Academy and Society (WSEAS)Universidade do MinhoCosta, José CarlosNogueira, ConceiçãoTeixeira, M. L.20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/39235engCosta, J. C., Nogueira, C., & Teixeira, M. L. (2016). Pointlike reducibility of pseudovarieties of the form V * D. International Journal of Algebra and Computation, 26(2), 203-216. doi: 10.1142/s02181967165000900218-196710.1142/s0218196716500090info: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:RCAAP2023-07-21T12:51:36Zoai:repositorium.sdum.uminho.pt:1822/39235Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:50:31.710947Repositório 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 Pointlike reducibility of pseudovarieties of the form V*D
title Pointlike reducibility of pseudovarieties of the form V*D
spellingShingle Pointlike reducibility of pseudovarieties of the form V*D
Costa, José Carlos
Semigroup
Pseudovariety
Semidirect product
Implicit signature
Pointlike
Equations
Reducibility
Ciências Naturais::Matemáticas
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
title_short Pointlike reducibility of pseudovarieties of the form V*D
title_full Pointlike reducibility of pseudovarieties of the form V*D
title_fullStr Pointlike reducibility of pseudovarieties of the form V*D
title_full_unstemmed Pointlike reducibility of pseudovarieties of the form V*D
title_sort Pointlike reducibility of pseudovarieties of the form V*D
author Costa, José Carlos
author_facet Costa, José Carlos
Nogueira, Conceição
Teixeira, M. L.
author_role author
author2 Nogueira, Conceição
Teixeira, M. L.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Costa, José Carlos
Nogueira, Conceição
Teixeira, M. L.
dc.subject.por.fl_str_mv Semigroup
Pseudovariety
Semidirect product
Implicit signature
Pointlike
Equations
Reducibility
Ciências Naturais::Matemáticas
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
topic Semigroup
Pseudovariety
Semidirect product
Implicit signature
Pointlike
Equations
Reducibility
Ciências Naturais::Matemáticas
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
description In this paper, we investigate the reducibility property of semidirect products of the form V *D relatively to (pointlike) systems of equations of the form x1 =...= xn, where D denotes the pseudovariety of definite semigroups. We establish a connection between pointlike reducibility of V*D and the pointlike reducibility of the pseudovariety V. In particular, for the canonical signature consisting of the multiplication and the (omega-1)-power, we show that V*D is pointlike-reducible when V is pointlike-reducible.
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
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/39235
url http://hdl.handle.net/1822/39235
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Costa, J. C., Nogueira, C., & Teixeira, M. L. (2016). Pointlike reducibility of pseudovarieties of the form V * D. International Journal of Algebra and Computation, 26(2), 203-216. doi: 10.1142/s0218196716500090
0218-1967
10.1142/s0218196716500090
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 World Scientific and Engineering Academy and Society (WSEAS)
publisher.none.fl_str_mv World Scientific and Engineering Academy and Society (WSEAS)
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str 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
repository.mail.fl_str_mv
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