Idempotent Varieties of Incidence Monoids and Bipartite Posets

Bibliographic Details
Main Author: Can, Mahir Bilen
Publication Date: 2022
Other Authors: Casimiro, Ana, Malheiro, António
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/146003
Summary: 090ENH-21
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spelling 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-22T18:07:10Zoai:run.unl.pt:10362/146003Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:37:31.207501Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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
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instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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