Homomorphisms and congruences of medial semigroups with an associate subgroup

Detalhes bibliográficos
Autor(a) principal: Martins, Paula Mendes
Data de Publicação: 2008
Outros Autores: Petrich, Mario
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11111
Resumo: Let S be the model of a semigroup with an associate subgroup whose identity is a medial idempotent constructed by Blyth and Martins considered as a unary semigroup. For another such semigroup T, we construct all unary homomorphisms of S into T in terms of their parameters. On S we construct all unary congruences again directly from its parameters. This construction leads to a characterization of congruences in terms of kernels and traces. We describe the K, T, L, U and V relations on the lattice of all unary congruences on S, again in terms of parameters of S.
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spelling Homomorphisms and congruences of medial semigroups with an associate subgroupRegular semigroupsHomomorphismsCongruencesassociatemedialsemigroupunarycongruencehomomorphismlatticerelationScience & TechnologyLet S be the model of a semigroup with an associate subgroup whose identity is a medial idempotent constructed by Blyth and Martins considered as a unary semigroup. For another such semigroup T, we construct all unary homomorphisms of S into T in terms of their parameters. On S we construct all unary congruences again directly from its parameters. This construction leads to a characterization of congruences in terms of kernels and traces. We describe the K, T, L, U and V relations on the lattice of all unary congruences on S, again in terms of parameters of S.Fundação para a Ciência e a Tecnologia (FCT)Taylor & FrancisUniversidade do MinhoMartins, Paula MendesPetrich, Mario20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11111eng"Communications in Algebra". ISSN 0092-7872. 36:6 (2008) 2143-2159.0092-787210.1080/00927870801949674http://www.informaworld.com/smpp/content~db=all?content=10.1080/00927870801949674info: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:RCAAP2023-07-21T12:08:00Zoai:repositorium.sdum.uminho.pt:1822/11111Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:59:06.511463Repositório 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 Homomorphisms and congruences of medial semigroups with an associate subgroup
title Homomorphisms and congruences of medial semigroups with an associate subgroup
spellingShingle Homomorphisms and congruences of medial semigroups with an associate subgroup
Martins, Paula Mendes
Regular semigroups
Homomorphisms
Congruences
associate
medial
semigroup
unary
congruence
homomorphism
lattice
relation
Science & Technology
title_short Homomorphisms and congruences of medial semigroups with an associate subgroup
title_full Homomorphisms and congruences of medial semigroups with an associate subgroup
title_fullStr Homomorphisms and congruences of medial semigroups with an associate subgroup
title_full_unstemmed Homomorphisms and congruences of medial semigroups with an associate subgroup
title_sort Homomorphisms and congruences of medial semigroups with an associate subgroup
author Martins, Paula Mendes
author_facet Martins, Paula Mendes
Petrich, Mario
author_role author
author2 Petrich, Mario
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Martins, Paula Mendes
Petrich, Mario
dc.subject.por.fl_str_mv Regular semigroups
Homomorphisms
Congruences
associate
medial
semigroup
unary
congruence
homomorphism
lattice
relation
Science & Technology
topic Regular semigroups
Homomorphisms
Congruences
associate
medial
semigroup
unary
congruence
homomorphism
lattice
relation
Science & Technology
description Let S be the model of a semigroup with an associate subgroup whose identity is a medial idempotent constructed by Blyth and Martins considered as a unary semigroup. For another such semigroup T, we construct all unary homomorphisms of S into T in terms of their parameters. On S we construct all unary congruences again directly from its parameters. This construction leads to a characterization of congruences in terms of kernels and traces. We describe the K, T, L, U and V relations on the lattice of all unary congruences on S, again in terms of parameters of S.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
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/1822/11111
url http://hdl.handle.net/1822/11111
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Communications in Algebra". ISSN 0092-7872. 36:6 (2008) 2143-2159.
0092-7872
10.1080/00927870801949674
http://www.informaworld.com/smpp/content~db=all?content=10.1080/00927870801949674
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
repository.mail.fl_str_mv
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