Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Suzana Mendes
Data de Publicação: 2006
Outros Autores: Sullivan, R. P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11379
Resumo: Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse semigroup $I(X)$ defined on a finite set $X$. Here we do the same for the semigroup $I(V)$ of all one-to-one partial linear transformations of a finite-dimensional vector space. We also show that $I(X)$ is almost never isomorphic to $I(V)$ for any set $X$ and any vector space $V$, and prove that any inverse semigroup can be embedded in some $I(V)$.
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spelling Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector spaceMaximal inverse subsemigroupsLinear transformation semigroupsScience & TechnologyYang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse semigroup $I(X)$ defined on a finite set $X$. Here we do the same for the semigroup $I(V)$ of all one-to-one partial linear transformations of a finite-dimensional vector space. We also show that $I(X)$ is almost never isomorphic to $I(V)$ for any set $X$ and any vector space $V$, and prove that any inverse semigroup can be embedded in some $I(V)$.Fundação para a Ciência e a TecnologiaTaylor & FrancisUniversidade do MinhoGonçalves, Suzana MendesSullivan, R. P.20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11379eng"Communications in Algebra". ISSN 0092-7872. 34:3 (2006) 1055-1069.0092-787210.1080/00927870500442013http://www.informaworld.cominfo: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:RCAAP2023-07-21T12:47:16Zoai:repositorium.sdum.uminho.pt:1822/11379Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:45:21.951505Repositório 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 Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
title Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
spellingShingle Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
Gonçalves, Suzana Mendes
Maximal inverse subsemigroups
Linear transformation semigroups
Science & Technology
title_short Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
title_full Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
title_fullStr Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
title_full_unstemmed Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
title_sort Maximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
author Gonçalves, Suzana Mendes
author_facet Gonçalves, Suzana Mendes
Sullivan, R. P.
author_role author
author2 Sullivan, R. P.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gonçalves, Suzana Mendes
Sullivan, R. P.
dc.subject.por.fl_str_mv Maximal inverse subsemigroups
Linear transformation semigroups
Science & Technology
topic Maximal inverse subsemigroups
Linear transformation semigroups
Science & Technology
description Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse semigroup $I(X)$ defined on a finite set $X$. Here we do the same for the semigroup $I(V)$ of all one-to-one partial linear transformations of a finite-dimensional vector space. We also show that $I(X)$ is almost never isomorphic to $I(V)$ for any set $X$ and any vector space $V$, and prove that any inverse semigroup can be embedded in some $I(V)$.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
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/1822/11379
url http://hdl.handle.net/1822/11379
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Communications in Algebra". ISSN 0092-7872. 34:3 (2006) 1055-1069.
0092-7872
10.1080/00927870500442013
http://www.informaworld.com
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 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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