Congruences on nilpotent-generated partial transformation semigroups

Detalhes bibliográficos
Autor(a) principal: Smith, M. Paula Marques
Data de Publicação: 2009
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/1822/14628
Resumo: In 1987, Sullivan characterised the elements of the semigroup NP(X ) generated by the nilpotents in P(X ), the semigroup (under composition) consisting of all partial transformations of a set X . In 1999, Marques-Smith and Sullivan determined all the ideals of NP(X ) for arbitrary X . In this paper, we use that work to describe all the congruences on NP(X ).
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spelling Congruences on nilpotent-generated partial transformation semigroupsCongruencesNilpotent-generated semigroupsPartial transformationsScience & TechnologyIn 1987, Sullivan characterised the elements of the semigroup NP(X ) generated by the nilpotents in P(X ), the semigroup (under composition) consisting of all partial transformations of a set X . In 1999, Marques-Smith and Sullivan determined all the ideals of NP(X ) for arbitrary X . In this paper, we use that work to describe all the congruences on NP(X ).Centro de Matemática da Universidade do Minho e Fundação para a Ciência e a Tecnologia (FCT)World Scientific and Engineering Academy and Society (WSEAS)Universidade do MinhoSmith, M. Paula MarquesSullivan, R. P.20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/14628eng1005-386710.1142/S1005386709000236http://www.worldscinet.com/ac/16/1602/S10053867091602.htmlinfo: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:RCAAP2023-07-21T12:16:56Zoai:repositorium.sdum.uminho.pt:1822/14628Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:09:29.256845Repositório 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 nilpotent-generated partial transformation semigroups
title Congruences on nilpotent-generated partial transformation semigroups
spellingShingle Congruences on nilpotent-generated partial transformation semigroups
Smith, M. Paula Marques
Congruences
Nilpotent-generated semigroups
Partial transformations
Science & Technology
title_short Congruences on nilpotent-generated partial transformation semigroups
title_full Congruences on nilpotent-generated partial transformation semigroups
title_fullStr Congruences on nilpotent-generated partial transformation semigroups
title_full_unstemmed Congruences on nilpotent-generated partial transformation semigroups
title_sort Congruences on nilpotent-generated partial transformation semigroups
author Smith, M. Paula Marques
author_facet Smith, M. Paula Marques
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 Smith, M. Paula Marques
Sullivan, R. P.
dc.subject.por.fl_str_mv Congruences
Nilpotent-generated semigroups
Partial transformations
Science & Technology
topic Congruences
Nilpotent-generated semigroups
Partial transformations
Science & Technology
description In 1987, Sullivan characterised the elements of the semigroup NP(X ) generated by the nilpotents in P(X ), the semigroup (under composition) consisting of all partial transformations of a set X . In 1999, Marques-Smith and Sullivan determined all the ideals of NP(X ) for arbitrary X . In this paper, we use that work to describe all the congruences on NP(X ).
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
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/1822/14628
url http://hdl.handle.net/1822/14628
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1005-3867
10.1142/S1005386709000236
http://www.worldscinet.com/ac/16/1602/S10053867091602.html
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 World Scientific and Engineering Academy and Society (WSEAS)
publisher.none.fl_str_mv World Scientific and Engineering Academy and Society (WSEAS)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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