Reducibility of pointlike problems
Main Author: | |
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Publication Date: | 2017 |
Other Authors: | , |
Format: | Article |
Language: | eng |
Source: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Download full: | http://hdl.handle.net/1822/38218 |
Summary: | We show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all fi nite semigroups in which the order of every subgroup is a product of elements of a fi xed set of primes; the pseudovariety of all fi nite semigroups in which every regular J-class is the product of a rectangular band by a group from a fixed pseudovariety of groups that is reducible for the pointlike problem, respectively graph reducible. Allowing only trivial groups, we obtain omega-reducibility of the pointlike and idempotent pointlike problems, respectively for the pseudovarieties of all finite aperiodic semigroups (A) and of all finite semigroups in which all regular elements are idempotents (DA). |
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Reducibility of pointlike problemsPseudovarietyProfinite semigroupPointlike setRegular languageAperiodic semigroupCiências Naturais::MatemáticasCiências Naturais::Ciências da Computação e da InformaçãoScience & TechnologyWe show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all fi nite semigroups in which the order of every subgroup is a product of elements of a fi xed set of primes; the pseudovariety of all fi nite semigroups in which every regular J-class is the product of a rectangular band by a group from a fixed pseudovariety of groups that is reducible for the pointlike problem, respectively graph reducible. Allowing only trivial groups, we obtain omega-reducibility of the pointlike and idempotent pointlike problems, respectively for the pseudovarieties of all finite aperiodic semigroups (A) and of all finite semigroups in which all regular elements are idempotents (DA).ANR 2010 BLAN 0202 01 FRECSpringer VerlagUniversidade do MinhoAlmeida, JorgeCosta, José CarlosZeitoun, Marc20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/38218eng0037-191210.1007/s00233-015-9769-2info: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:RCAAP2023-07-21T11:55:33Zoai:repositorium.sdum.uminho.pt:1822/38218Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:45:05.715851Repositório 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 of pointlike problems |
title |
Reducibility of pointlike problems |
spellingShingle |
Reducibility of pointlike problems Almeida, Jorge Pseudovariety Profinite semigroup Pointlike set Regular language Aperiodic semigroup Ciências Naturais::Matemáticas Ciências Naturais::Ciências da Computação e da Informação Science & Technology |
title_short |
Reducibility of pointlike problems |
title_full |
Reducibility of pointlike problems |
title_fullStr |
Reducibility of pointlike problems |
title_full_unstemmed |
Reducibility of pointlike problems |
title_sort |
Reducibility of pointlike problems |
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 |
Pseudovariety Profinite semigroup Pointlike set Regular language Aperiodic semigroup Ciências Naturais::Matemáticas Ciências Naturais::Ciências da Computação e da Informação Science & Technology |
topic |
Pseudovariety Profinite semigroup Pointlike set Regular language Aperiodic semigroup Ciências Naturais::Matemáticas Ciências Naturais::Ciências da Computação e da Informação Science & Technology |
description |
We show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all fi nite semigroups in which the order of every subgroup is a product of elements of a fi xed set of primes; the pseudovariety of all fi nite semigroups in which every regular J-class is the product of a rectangular band by a group from a fixed pseudovariety of groups that is reducible for the pointlike problem, respectively graph reducible. Allowing only trivial groups, we obtain omega-reducibility of the pointlike and idempotent pointlike problems, respectively for the pseudovarieties of all finite aperiodic semigroups (A) and of all finite semigroups in which all regular elements are idempotents (DA). |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017 2017-01-01T00:00:00Z |
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/1822/38218 |
url |
http://hdl.handle.net/1822/38218 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0037-1912 10.1007/s00233-015-9769-2 |
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 |
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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1799132202221436928 |