The cardinal and the idempotent number of various monoids of transformations on a finite chain

Detalhes bibliográficos
Autor(a) principal: Fernandes, Vítor H.
Data de Publicação: 2011
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/10362/5528
Resumo: Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85
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spelling The cardinal and the idempotent number of various monoids of transformations on a finite chainmonoidtransformation, order-preservingorientation-preservingBulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85We consider various classes of monoids of transformations on a finite chain, in particular transformations that preserve or reverse either the order or the orientation. Being finite monoids we are naturally interested in computing both their cardinals and the number of their idempotents. In this note we present a short survey on these questions which have been approached by various authors and close the problem by computing the number of idempotents of those monoids not considered before. Fibonacci and Lucas numbers play an essential role in the last computations.School of Mathematical SciencesRUNFernandes, Vítor H.Gomes, Gracinda M. S.Jesus, Manuel M.2011-04-18T14:27:03Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/5528eng0126-6705info: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:RCAAP2024-03-11T03:36:09Zoai:run.unl.pt:10362/5528Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:16:20.196559Repositório 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 The cardinal and the idempotent number of various monoids of transformations on a finite chain
title The cardinal and the idempotent number of various monoids of transformations on a finite chain
spellingShingle The cardinal and the idempotent number of various monoids of transformations on a finite chain
Fernandes, Vítor H.
monoid
transformation, order-preserving
orientation-preserving
title_short The cardinal and the idempotent number of various monoids of transformations on a finite chain
title_full The cardinal and the idempotent number of various monoids of transformations on a finite chain
title_fullStr The cardinal and the idempotent number of various monoids of transformations on a finite chain
title_full_unstemmed The cardinal and the idempotent number of various monoids of transformations on a finite chain
title_sort The cardinal and the idempotent number of various monoids of 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 monoid
transformation, order-preserving
orientation-preserving
topic monoid
transformation, order-preserving
orientation-preserving
description Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85
publishDate 2011
dc.date.none.fl_str_mv 2011-04-18T14:27:03Z
2011
2011-01-01T00:00:00Z
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/10362/5528
url http://hdl.handle.net/10362/5528
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0126-6705
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 School of Mathematical Sciences
publisher.none.fl_str_mv School of Mathematical Sciences
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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