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From plactic monoids to hypoplactic monoids

2024-06-17Artigo científico Acesso aberto
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dc.contributor.authorGuilherme, Ricardo P.
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblSpringer
dc.date.accessioned2025-02-12T21:21:07Z
dc.date.available2025-02-12T21:21:07Z
dc.date.issued2024-06-17
dc.descriptionFunding Information: Open access funding provided by FCT|FCCN (b-on). This work is funded by national funds through the FCT– Fundação para a Ciência e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 (https://doi.org/10.54499/UIDB/00297/2020) and UIDP/00297/2020 (https://doi.org/ 10.54499/UIDP/00297/2020) (Center for Mathematics and Applications). Publisher Copyright: © The Author(s) 2024.
dc.description.abstractThe plactic monoids can be obtained from the tensor product of crystals. Similarly, the hypoplactic monoids can be obtained from the quasi-tensor product of quasi-crystals. In this paper, we present a unified approach to these constructions by expressing them in the context of quasi-crystals. We provide a sufficient condition to obtain a quasi-crystal monoid for the quasi-tensor product from a quasi-crystal monoid for the tensor product. We also establish a sufficient condition for a hypoplactic monoid to be a quotient of the plactic monoid associated to the same seminormal quasi-crystal.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent25
dc.format.extent413169
dc.identifier.doi10.1007/s00233-024-10436-8
dc.identifier.issn0037-1912
dc.identifier.otherPURE: 109857687
dc.identifier.otherPURE UUID: b4ee9560-9f8b-4857-8089-ce59f3acd2db
dc.identifier.otherScopus: 85196078750
dc.identifier.urihttp://hdl.handle.net/10362/178927
dc.identifier.urlhttps://www.scopus.com/pages/publications/85196078750
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.subjectEquidivisible
dc.subjectHypoplactic monoid
dc.subjectPlactic monoid
dc.subjectQuasi-crystal
dc.subjectAlgebra and Number Theory
dc.titleFrom plactic monoids to hypoplactic monoidsen
dc.typejournal article
degois.publication.firstPage116
degois.publication.issue1
degois.publication.lastPage140
degois.publication.titleSemigroup Forum
degois.publication.volume109
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
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.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
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
rcaap.rightsopenAccess
relation.isProjectOfPublicationd00ae22f-ec2b-47b2-935e-60cb44493cc6
relation.isProjectOfPublication65d392f7-8781-4d70-b9f3-069b07d4a311
relation.isProjectOfPublication.latestForDiscoveryd00ae22f-ec2b-47b2-935e-60cb44493cc6

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