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Idempotent Varieties of Incidence Monoids and Bipartite Posets

2023-10Artigo científico Acesso aberto
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dc.contributor.authorCan, Mahir Bilen
dc.contributor.authorCasimiro, Ana
dc.contributor.authorMalheiro, António
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblSpringer
dc.date.accessioned2022-12-05T22:12:36Z
dc.date.available2022-12-05T22:12:36Z
dc.date.issued2023-10
dc.description090ENH-21
dc.description.abstractThe 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.en
dc.description.versionpublished
dc.format.extent26
dc.format.extent310012
dc.identifier.doi10.1007/s10468-022-10162-1
dc.identifier.issn1386-923X
dc.identifier.otherPURE: 46515606
dc.identifier.otherPURE UUID: 3ad1c388-bfb6-4e32-9110-8a5bd13b3b11
dc.identifier.otherWOS: 000849444100001
dc.identifier.otherScopus: 85137437265
dc.identifier.otherORCID: /0000-0001-6001-6803/work/120737695
dc.identifier.otherORCID: /0000-0003-1186-6216/work/120738035
dc.identifier.urihttp://hdl.handle.net/10362/146003
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.relationCenter for Mathematics and Applications
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31174%2F2017/PT
dc.subjectAntichain monoids
dc.subjectBipartite posets
dc.subjectOrthodox semigroups
dc.subjectCompletely regular semigroups
dc.subjectRegular semigroups
dc.subjectConjugacy relations
dc.titleIdempotent Varieties of Incidence Monoids and Bipartite Posetsen
dc.typejournal article
degois.publication.titleAlgebras and Representation Theory
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardNumberPTDC/MAT-PUR/31174/2017
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31174%2F2017/PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream3599-PPCDT
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
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