Idempotent Varieties of Incidence Monoids and Bipartite Posets
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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/10362/146003 |
Resumo: | 090ENH-21 |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Idempotent Varieties of Incidence Monoids and Bipartite PosetsAntichain monoidsBipartite posetsOrthodox semigroupsCompletely regular semigroupsRegular semigroupsConjugacy relations090ENH-21The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection with an antichain submonoid is shown to be the union of these irreducible components. The antichain monoids of bipartite posets are shown to be orthodox semigroups. The Green’s relations are explicitly determined, and applications to conjugacy problems are described. In particular, it is shown that two elements in the antichain monoid are primarily conjugate in the monoid if and only if they belong to the same -class and their multiplication by an idempotent of the same -class gives conjugate elements in the group.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNCan, Mahir BilenCasimiro, AnaMalheiro, António2022-12-05T22:12:36Z2023-102023-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article26application/pdfhttp://hdl.handle.net/10362/146003eng1386-923XPURE: 46515606https://doi.org/10.1007/s10468-022-10162-1info: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:RCAAP2024-03-11T05:26:54Zoai:run.unl.pt:10362/146003Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:52:23.855851Repositório 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 |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
title |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
spellingShingle |
Idempotent Varieties of Incidence Monoids and Bipartite Posets Can, Mahir Bilen Antichain monoids Bipartite posets Orthodox semigroups Completely regular semigroups Regular semigroups Conjugacy relations |
title_short |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
title_full |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
title_fullStr |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
title_full_unstemmed |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
title_sort |
Idempotent Varieties of Incidence Monoids and Bipartite Posets |
author |
Can, Mahir Bilen |
author_facet |
Can, Mahir Bilen Casimiro, Ana Malheiro, António |
author_role |
author |
author2 |
Casimiro, Ana Malheiro, António |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
DM - Departamento de Matemática CMA - Centro de Matemática e Aplicações RUN |
dc.contributor.author.fl_str_mv |
Can, Mahir Bilen Casimiro, Ana Malheiro, António |
dc.subject.por.fl_str_mv |
Antichain monoids Bipartite posets Orthodox semigroups Completely regular semigroups Regular semigroups Conjugacy relations |
topic |
Antichain monoids Bipartite posets Orthodox semigroups Completely regular semigroups Regular semigroups Conjugacy relations |
description |
090ENH-21 |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-12-05T22:12:36Z 2023-10 2023-10-01T00:00:00Z |
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/10362/146003 |
url |
http://hdl.handle.net/10362/146003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1386-923X PURE: 46515606 https://doi.org/10.1007/s10468-022-10162-1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
26 application/pdf |
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 |
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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1799138115192881152 |