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Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces

dc.contributor.authorCatino, F
dc.contributor.authorColazzo, I
dc.contributor.authorStefanelli, P
dc.date.accessioned2022-10-19T10:17:56Z
dc.date.issued2021-04-16
dc.date.updated2022-10-19T09:35:32Z
dc.description.abstractThis paper aims to introduce a construction technique of set-theoretic solutions of the Yang-Baxter equation, called strong semilattice of solutions. This technique, inspired by the strong semilattice of semigroups, allows one to obtain new solutions. In particular, this method turns out to be useful to provide non-bijective solutions of finite order. It is well-known that braces, skew braces and semi-braces are closely linked with solutions. Hence, we introduce a generalization of the algebraic structure of semi-braces based on this new construction technique of solutions.en_GB
dc.description.sponsorshipFonds voor Wetenschappelijk Onderzoek (Flanders)en_GB
dc.description.sponsorshipDipartimento di Matematica e Fisica “Ennio De Giorgi” – Università del Salentoen_GB
dc.description.sponsorshipOnderzoeksraad of Vrije Universiteit Brusselen_GB
dc.identifier.citationVol. 33, No. 3, pp. 757-772en_GB
dc.identifier.doihttps://doi.org/10.1515/forum-2020-0082
dc.identifier.grantnumberG016117en_GB
dc.identifier.urihttp://hdl.handle.net/10871/131325
dc.identifierORCID: 0000-0002-2713-0409 (Colazzo, Ilaria)
dc.language.isoenen_GB
dc.publisherDe Gruyteren_GB
dc.rights© 2021 Catino, Colazzo and Stefanelli, published by De Gruyter. Open access. This work is licensed under the Creative Commons Attribution 4.0 International License.en_GB
dc.subjectQuantum Yang-Baxter equationen_GB
dc.subjectset-theoretical solutionen_GB
dc.subjectbraceen_GB
dc.subjectskew braceen_GB
dc.subjectsemi-braceen_GB
dc.subjectgeneralized semi-braceen_GB
dc.titleSet-theoretic solutions to the Yang–Baxter equation and generalized semi-bracesen_GB
dc.typeArticleen_GB
dc.date.available2022-10-19T10:17:56Z
dc.identifier.issn0933-7741
dc.descriptionThis is the final version. Available on open access from De Gruyter via the DOI in this record. en_GB
dc.identifier.eissn1435-5337
dc.identifier.journalForum Mathematicumen_GB
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_GB
dcterms.dateAccepted2021-03-09
rioxxterms.versionVoRen_GB
rioxxterms.licenseref.startdate2021-04-16
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2022-10-19T10:14:20Z
refterms.versionFCDVoR
refterms.dateFOA2022-10-19T10:18:15Z
refterms.panelBen_GB
refterms.dateFirstOnline2021-04-16


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© 2021 Catino, Colazzo and Stefanelli, published by De Gruyter. Open access. This work is licensed under the Creative Commons Attribution 4.0 International License.
Except where otherwise noted, this item's licence is described as © 2021 Catino, Colazzo and Stefanelli, published by De Gruyter. Open access. This work is licensed under the Creative Commons Attribution 4.0 International License.