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Conjugacy in inverse semigroups

2019-09-01Artigo científico Acesso aberto
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dc.contributor.authorAraújo, João
dc.contributor.authorKinyon, Michael
dc.contributor.authorKonieczny, Janusz
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblElsevier
dc.date.accessioned2020-12-11T00:14:49Z
dc.date.available2020-12-11T00:14:49Z
dc.date.issued2019-09-01
dc.descriptionThe first and second authors were partially supported by the Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes), the project PTDC/MHC-FIL/2583/2014, the FCT project PTDC/MAT-PUR/31174/2017. The second author was also partially supported by a Simons Foundation Collaboration Grant 359872.
dc.description.abstractIn a group G, elements a and b are conjugate if there exists g∈G such that g−1ag=b. This conjugacy relation, which plays an important role in group theory, can be extended in a natural way to inverse semigroups: for elements a and b in an inverse semigroup S, a is conjugate to b, which we will write as a∼ib, if there exists g∈S1 such that g−1ag=b and gbg−1=a. The purpose of this paper is to study the conjugacy ∼i in several classes of inverse semigroups: symmetric inverse semigroups, McAllister P-semigroups, factorizable inverse monoids, Clifford semigroups, the bicyclic monoid, stable inverse semigroups, and free inverse semigroups.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent32
dc.format.extent534440
dc.identifier.doi10.1016/j.jalgebra.2019.05.022
dc.identifier.issn0021-8693
dc.identifier.otherPURE: 18784027
dc.identifier.otherPURE UUID: 115f835e-5812-454e-8cfc-54c32b1f4916
dc.identifier.otherScopus: 85067242288
dc.identifier.otherWOS: 000474332500007
dc.identifier.urihttp://hdl.handle.net/10362/108473
dc.identifier.urlhttps://www.scopus.com/pages/publications/85067242288
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147271/PT
dc.subjectBicyclic monoid
dc.subjectClifford semigroups
dc.subjectConjugacy
dc.subjectFactorizable inverse monoids
dc.subjectFree inverse semigroups
dc.subjectInverse semigroups
dc.subjectMcAllister P-semigroups
dc.subjectStable inverse semigroups
dc.subjectSymmetric inverse semigroups
dc.subjectAlgebra and Number Theory
dc.titleConjugacy in inverse semigroupsen
dc.typejournal article
degois.publication.firstPage142
degois.publication.lastPage173
degois.publication.titleJournal of Algebra
degois.publication.volume533
dspace.entity.typePublication
oaire.awardNumberUID/Multi/04621/2013
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMulti%2F04621%2F2013/PT
oaire.fundingStream5876
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublicationb4dc204c-c376-42f7-9c7a-4f700dd998a9
relation.isProjectOfPublication.latestForDiscoveryb4dc204c-c376-42f7-9c7a-4f700dd998a9

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