Tameness of pseudovariety joins involving R
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/3351 |
Resumo: | 2000 Mathematics Subject Classification: 20M07 (primary); 20M05, 20M35, 68Q70 (secondary). |
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Tameness of pseudovariety joins involving RSemigroupTame pseudovarietyJoin of pseudovarietiesSystems of equationsRational constraintsImplicit operationScience & Technology2000 Mathematics Subject Classification: 20M07 (primary); 20M05, 20M35, 68Q70 (secondary).In this paper, we establish several decidability results for pseudovariety joins of the form VvW, where V is a subpseudovariety of J or the pseudovariety R. Here, J (resp. R) denotes the pseudovariety of all J-trivial (resp. R-trivial) semigroups. In particular, we show that the pseudovariety VvW is (completely) kappa-tame when V is a subpseudovariety of J with decidable kappa-word problem and W is (completely) kappa-tame. Moreover, if W is a kappa-tame pseudovariety which satisfies the pseudoidentity x_1...x_ry^{\omega+1}zt^\omega = x_1... x_ryzt^\omega, then we prove that RvW is also kappa-tame. In particular the joins RvAb, RvG, RvOCR, and RvCR are decidable.União Europeia (UE). Fundo Europeu de Desenvolvimento Regional (FEDER) - POCTI/32817/MAT/2000.International Association for the Promotion of Co-operation with Scientists from the New Independent States (NIS) of the Former Soviet Union (INTAS) - project 99-1224.Fundação para a Ciência e a Tecnologia (FCT).Springer VerlagUniversidade do MinhoAlmeida, JorgeCosta, José CarlosZeitoun, Marc2005-102005-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/3351eng"Monatshefte für Mathematik". ISSN 0026-9255. 146:2 (2005) 89-111.0026-925510.1007/s00605-005-0324-1www.springerlink.cominfo: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:RCAAP2023-07-21T12:25:02Zoai:repositorium.sdum.uminho.pt:1822/3351Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:19:13.594981Repositório 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 |
Tameness of pseudovariety joins involving R |
title |
Tameness of pseudovariety joins involving R |
spellingShingle |
Tameness of pseudovariety joins involving R Almeida, Jorge Semigroup Tame pseudovariety Join of pseudovarieties Systems of equations Rational constraints Implicit operation Science & Technology |
title_short |
Tameness of pseudovariety joins involving R |
title_full |
Tameness of pseudovariety joins involving R |
title_fullStr |
Tameness of pseudovariety joins involving R |
title_full_unstemmed |
Tameness of pseudovariety joins involving R |
title_sort |
Tameness of pseudovariety joins involving R |
author |
Almeida, Jorge |
author_facet |
Almeida, Jorge Costa, José Carlos Zeitoun, Marc |
author_role |
author |
author2 |
Costa, José Carlos Zeitoun, Marc |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Almeida, Jorge Costa, José Carlos Zeitoun, Marc |
dc.subject.por.fl_str_mv |
Semigroup Tame pseudovariety Join of pseudovarieties Systems of equations Rational constraints Implicit operation Science & Technology |
topic |
Semigroup Tame pseudovariety Join of pseudovarieties Systems of equations Rational constraints Implicit operation Science & Technology |
description |
2000 Mathematics Subject Classification: 20M07 (primary); 20M05, 20M35, 68Q70 (secondary). |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-10 2005-10-01T00:00:00Z |
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/1822/3351 |
url |
http://hdl.handle.net/1822/3351 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"Monatshefte für Mathematik". ISSN 0026-9255. 146:2 (2005) 89-111. 0026-9255 10.1007/s00605-005-0324-1 www.springerlink.com |
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 |
Springer Verlag |
publisher.none.fl_str_mv |
Springer Verlag |
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 |
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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 |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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