On Semigroups of Orientation-preserving Transformations with Restricted Range
Autor(a) principal: | |
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Data de Publicação: | 2016 |
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/10400.21/7503 |
Resumo: | Let Xn be a chain with n elements (n ∈ ℕ), and let n be the monoid of all orientation-preserving transformations of Xn. In this article, for any nonempty subset Y of Xn, we consider the subsemigroup n(Y) of n of all transformations with range contained in Y: We describe the largest regular subsemigroup of n(Y), which actually coincides with its subset of all regular elements. Also, we determine when two semigroups of the type n(Y) are isomorphic and calculate their ranks. Moreover, a parallel study is presented for the correspondent subsemigroups of the monoid ℛn of all either orientation-preserving or orientation-reversing transformations of Xn. |
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On Semigroups of Orientation-preserving Transformations with Restricted RangeOrientation-preservingOrientation-reversingRankRestricted rangeTransformationsLet Xn be a chain with n elements (n ∈ ℕ), and let n be the monoid of all orientation-preserving transformations of Xn. In this article, for any nonempty subset Y of Xn, we consider the subsemigroup n(Y) of n of all transformations with range contained in Y: We describe the largest regular subsemigroup of n(Y), which actually coincides with its subset of all regular elements. Also, we determine when two semigroups of the type n(Y) are isomorphic and calculate their ranks. Moreover, a parallel study is presented for the correspondent subsemigroups of the monoid ℛn of all either orientation-preserving or orientation-reversing transformations of Xn.Taylor & FrancisRCIPLFernandes, Vitor H.Honyam, PreeyanuchQuinteiro, TeresaSingha, Boorapa2017-11-14T15:26:08Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/7503engFERNANDES, V. H.; [et al] - On Semigroups of Orientation-preserving Transformations with Restricted Range. Communications in Algebra. ISSN 0092-7872. Vol. 44, N.º 1 (2016), pp. 253-2640092-787210.1080/00927872.2014.975345metadata 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:RCAAP2023-08-03T09:53:38Zoai:repositorio.ipl.pt:10400.21/7503Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:16:26.356018Repositório 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 Orientation-preserving Transformations with Restricted Range |
title |
On Semigroups of Orientation-preserving Transformations with Restricted Range |
spellingShingle |
On Semigroups of Orientation-preserving Transformations with Restricted Range Fernandes, Vitor H. Orientation-preserving Orientation-reversing Rank Restricted range Transformations |
title_short |
On Semigroups of Orientation-preserving Transformations with Restricted Range |
title_full |
On Semigroups of Orientation-preserving Transformations with Restricted Range |
title_fullStr |
On Semigroups of Orientation-preserving Transformations with Restricted Range |
title_full_unstemmed |
On Semigroups of Orientation-preserving Transformations with Restricted Range |
title_sort |
On Semigroups of Orientation-preserving Transformations 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 |
Orientation-preserving Orientation-reversing Rank Restricted range Transformations |
topic |
Orientation-preserving Orientation-reversing Rank Restricted range Transformations |
description |
Let Xn be a chain with n elements (n ∈ ℕ), and let n be the monoid of all orientation-preserving transformations of Xn. In this article, for any nonempty subset Y of Xn, we consider the subsemigroup n(Y) of n of all transformations with range contained in Y: We describe the largest regular subsemigroup of n(Y), which actually coincides with its subset of all regular elements. Also, we determine when two semigroups of the type n(Y) are isomorphic and calculate their ranks. Moreover, a parallel study is presented for the correspondent subsemigroups of the monoid ℛn of all either orientation-preserving or orientation-reversing transformations of Xn. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016 2016-01-01T00:00:00Z 2017-11-14T15:26:08Z |
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/10400.21/7503 |
url |
http://hdl.handle.net/10400.21/7503 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
FERNANDES, V. H.; [et al] - On Semigroups of Orientation-preserving Transformations with Restricted Range. Communications in Algebra. ISSN 0092-7872. Vol. 44, N.º 1 (2016), pp. 253-264 0092-7872 10.1080/00927872.2014.975345 |
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 |
Taylor & Francis |
publisher.none.fl_str_mv |
Taylor & Francis |
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 |
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1799133425025679360 |