The congruences on the semigroup of balanced transformations of an infinite set
Autor(a) principal: | |
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Data de Publicação: | 2000 |
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/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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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 |
dc.format.none.fl_str_mv |
application/pdf |
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 instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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