The congruences on the semigroup of balanced transformations of an infinite set

Detalhes bibliográficos
Autor(a) principal: Smith, M. Paula Marques
Data de Publicação: 2000
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/1822/7450
Resumo: In 1966, Howie showed that the semigroup generated by all nonidentity idempotent transformations of an infinite set X is the disjoint union of two semigroups, one of which is denoted by H and consists of all balanced transformations of X (that is, all transformations whose defect, shift and collapse are equal and infinite). Subsequently, Howie (1981) and Marques (1983) showed that certain Rees quotient semigroups associated with H are congruence-free. Here, we describe all congruences on H.
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spelling The congruences on the semigroup of balanced transformations of an infinite setScience & TechnologyIn 1966, Howie showed that the semigroup generated by all nonidentity idempotent transformations of an infinite set X is the disjoint union of two semigroups, one of which is denoted by H and consists of all balanced transformations of X (that is, all transformations whose defect, shift and collapse are equal and infinite). Subsequently, Howie (1981) and Marques (1983) showed that certain Rees quotient semigroups associated with H are congruence-free. Here, we describe all congruences on H.Fundação para a Ciência e a Tecnologia (FCT).Centro de matemática da Universidade do Minho.ElsevierUniversidade do MinhoSmith, M. Paula MarquesSullivan, R. P.20002000-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/7450eng"Journal of Algebra". ISSN 0021-8693. 234:1 (2000) 1-30.0021-869310.1006/jabr.2000.8391http://www.sciencedirect.com/science?_ob= ArticleURL&_udi=B6WH2-45F4PP4-1T&_user= 10&_coverDate=12%2F01%2F2000&_alid= 664474152&_rdoc=1&_fmt=summary&_orig= search&_cdi=6838&_sort=d&_docanchor= &view=c&_ct=1&_acct=C000050221&_version= 1&_urlVersion=0&_userid=10&md5= 46a0b88a8be16a3385bb583a8bf79330info: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:RCAAP2023-07-21T12:47:51Zoai:repositorium.sdum.uminho.pt:1822/7450Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:45:58.624902Repositório 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 congruences on the semigroup of balanced transformations of an infinite set
title The congruences on the semigroup of balanced transformations of an infinite set
spellingShingle The congruences on the semigroup of balanced transformations of an infinite set
Smith, M. Paula Marques
Science & Technology
title_short The congruences on the semigroup of balanced transformations of an infinite set
title_full The congruences on the semigroup of balanced transformations of an infinite set
title_fullStr The congruences on the semigroup of balanced transformations of an infinite set
title_full_unstemmed The congruences on the semigroup of balanced transformations of an infinite set
title_sort The congruences on the semigroup of balanced transformations of an infinite set
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 Science & Technology
topic Science & Technology
description In 1966, Howie showed that the semigroup generated by all nonidentity idempotent transformations of an infinite set X is the disjoint union of two semigroups, one of which is denoted by H and consists of all balanced transformations of X (that is, all transformations whose defect, shift and collapse are equal and infinite). Subsequently, Howie (1981) and Marques (1983) showed that certain Rees quotient semigroups associated with H are congruence-free. Here, we describe all congruences on H.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-01-01T00:00:00Z
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/1822/7450
url http://hdl.handle.net/1822/7450
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of Algebra". ISSN 0021-8693. 234:1 (2000) 1-30.
0021-8693
10.1006/jabr.2000.8391
http://www.sciencedirect.com/science?_ob= ArticleURL&_udi=B6WH2-45F4PP4-1T&_user= 10&_coverDate=12%2F01%2F2000&_alid= 664474152&_rdoc=1&_fmt=summary&_orig= search&_cdi=6838&_sort=d&_docanchor= &view=c&_ct=1&_acct=C000050221&_version= 1&_urlVersion=0&_userid=10&md5= 46a0b88a8be16a3385bb583a8bf79330
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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