Congruences on monoids of order-preserving or order-reversing transformations on a finite chain

Detalhes bibliográficos
Autor(a) principal: Fernandes, Vítor H.
Data de Publicação: 2005
Outros Autores: Gomes, Gracinda M. S., Jesus, Manuel M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/5322
Resumo: Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424
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spelling Congruences on monoids of order-preserving or order-reversing transformations on a finite chainCongruencesOrder-preservingOrder-reversingTransformationsGlasgow Mathematical Journal, nº 47 (2005), pg. 413-424This paper is mainly dedicated to describing the congruences on certain monoids of transformations on a finite chain Xn with n elements. Namely, we consider the monoids ODn and PODn of all full, respectively partial, transformations on Xn that preserve or reverse the order, as well as the submonoid POn of PODn of all its order-preserving elements. The inverse monoid PODIn of all injective elements of PODn is also considered. We show that in POn any congruence is a Rees congruence, but this may not happen in the monoids ODn, PODIn and PODn. However in all these cases the congruences form a chain.This work was developed within the activities of Centro de ´Algebra da Universidade de Lisboa, supported by FCT and FEDER, within project POCTI ”Fundamental and Applied Algebra”Cambridge University PressRUNFernandes, Vítor H.Gomes, Gracinda M. S.Jesus, Manuel M.2011-03-04T11:53:38Z20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/5322eng0017-0895info: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:RCAAP2024-03-11T03:35:46Zoai:run.unl.pt:10362/5322Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:16:12.025114Repositório 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 Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
title Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
spellingShingle Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
Fernandes, Vítor H.
Congruences
Order-preserving
Order-reversing
Transformations
title_short Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
title_full Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
title_fullStr Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
title_full_unstemmed Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
title_sort Congruences on monoids of order-preserving or order-reversing transformations on a finite chain
author Fernandes, Vítor H.
author_facet Fernandes, Vítor H.
Gomes, Gracinda M. S.
Jesus, Manuel M.
author_role author
author2 Gomes, Gracinda M. S.
Jesus, Manuel M.
author2_role author
author
dc.contributor.none.fl_str_mv RUN
dc.contributor.author.fl_str_mv Fernandes, Vítor H.
Gomes, Gracinda M. S.
Jesus, Manuel M.
dc.subject.por.fl_str_mv Congruences
Order-preserving
Order-reversing
Transformations
topic Congruences
Order-preserving
Order-reversing
Transformations
description Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
2011-03-04T11:53:38Z
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/10362/5322
url http://hdl.handle.net/10362/5322
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0017-0895
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 Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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