On semigroups of endomorphisms of a chain with restricted range

Detalhes bibliográficos
Autor(a) principal: Fernandes, Vitor H.
Data de Publicação: 2014
Outros Autores: Honyam, Preeyanuch, Quinteiro, Teresa, Singha, Boorapa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/5010
Resumo: Let X be a finite or infinite chain and let be the monoid of all endomorphisms of X. In this paper, we describe the largest regular subsemigroup of and Green's relations on. In fact, more generally, if Y is a nonempty subset of X and is the subsemigroup of of all elements with range contained in Y, we characterize the largest regular subsemigroup of and Green's relations on. Moreover for finite chains, we determine when two semigroups of the type are isomorphic and calculate their ranks.
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spelling On semigroups of endomorphisms of a chain with restricted rangeTransformationsOrder-PreservingRestricted RangeRankLet X be a finite or infinite chain and let be the monoid of all endomorphisms of X. In this paper, we describe the largest regular subsemigroup of and Green's relations on. In fact, more generally, if Y is a nonempty subset of X and is the subsemigroup of of all elements with range contained in Y, we characterize the largest regular subsemigroup of and Green's relations on. Moreover for finite chains, we determine when two semigroups of the type are isomorphic and calculate their ranks.SpringerRCIPLFernandes, Vitor H.Honyam, PreeyanuchQuinteiro, TeresaSingha, Boorapa2015-08-25T14:27:42Z2014-082014-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/5010engFERNANDES, Vítor H.; [et al] – On semigroups of endomorphisms of a chain with restricted range. Semigroup Forum. ISSN: 0037-1912. Vol. 89, nr. 1 (2014), pp. 77-1040037-191210.1007/s00233-013-9548-xmetadata only accessinfo: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:RCAAP2023-08-03T09:47:50Zoai:repositorio.ipl.pt:10400.21/5010Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:14:21.362280Repositório 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 On semigroups of endomorphisms of a chain with restricted range
title On semigroups of endomorphisms of a chain with restricted range
spellingShingle On semigroups of endomorphisms of a chain with restricted range
Fernandes, Vitor H.
Transformations
Order-Preserving
Restricted Range
Rank
title_short On semigroups of endomorphisms of a chain with restricted range
title_full On semigroups of endomorphisms of a chain with restricted range
title_fullStr On semigroups of endomorphisms of a chain with restricted range
title_full_unstemmed On semigroups of endomorphisms of a chain with restricted range
title_sort On semigroups of endomorphisms of a chain with restricted range
author Fernandes, Vitor H.
author_facet Fernandes, Vitor H.
Honyam, Preeyanuch
Quinteiro, Teresa
Singha, Boorapa
author_role author
author2 Honyam, Preeyanuch
Quinteiro, Teresa
Singha, Boorapa
author2_role author
author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Fernandes, Vitor H.
Honyam, Preeyanuch
Quinteiro, Teresa
Singha, Boorapa
dc.subject.por.fl_str_mv Transformations
Order-Preserving
Restricted Range
Rank
topic Transformations
Order-Preserving
Restricted Range
Rank
description Let X be a finite or infinite chain and let be the monoid of all endomorphisms of X. In this paper, we describe the largest regular subsemigroup of and Green's relations on. In fact, more generally, if Y is a nonempty subset of X and is the subsemigroup of of all elements with range contained in Y, we characterize the largest regular subsemigroup of and Green's relations on. Moreover for finite chains, we determine when two semigroups of the type are isomorphic and calculate their ranks.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
2014-08-01T00:00:00Z
2015-08-25T14:27:42Z
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/10400.21/5010
url http://hdl.handle.net/10400.21/5010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv FERNANDES, Vítor H.; [et al] – On semigroups of endomorphisms of a chain with restricted range. Semigroup Forum. ISSN: 0037-1912. Vol. 89, nr. 1 (2014), pp. 77-104
0037-1912
10.1007/s00233-013-9548-x
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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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
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