Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova | ||
| dc.conicet.fuente | individual | |
| dc.conicet.organizacion | Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática | |
| dc.conicet.organizacion | Consejo Nacional de Investigaciones Científicas y Técnicas | |
| dc.conicet.paisOrganizacion | Argentina | |
| dc.conicet.paisOrganizacion | Argentina | |
| dc.conicet.produccionid | 6352622 | |
| dc.contributor.author | Vendramin, Claudio Leandro | |
| dc.date.accessioned | 2018-09-14T20:49:02Z | |
| dc.date.available | 2018-09-14T20:49:02Z | |
| dc.date.issued | 2016-05 | |
| dc.date.updated | 2018-09-14T13:16:02Z | |
| dc.description.abstract | We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Yang-Baxter equation and use it to produce new families of solutions. As an application we construct an infinite family of counterexamples to a conjecture of Gateva-Ivanova related to the retractability of square-free solutions. | es |
| dc.description.fil | Fil: Vendramin, Claudio Leandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina | |
| dc.format | application/pdf | es |
| dc.identifier.citation | Vendramin, Claudio Leandro; Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova; Elsevier Science; Journal Of Pure And Applied Algebra; 220; 5; 5-2016; 2064-2076 | es |
| dc.identifier.institucional | CONICET | |
| dc.identifier.issn | 0022-4049 | es |
| dc.identifier.repo | CONICET Digital | |
| dc.identifier.uri | http://hdl.handle.net/11336/59797 | |
| dc.journal.ciudad | Amsterdam | es |
| dc.journal.number | 5 | es |
| dc.journal.pagination | 2064-2076 | es |
| dc.journal.pais | Países Bajos | es |
| dc.journal.title | Journal Of Pure And Applied Algebra | es |
| dc.journal.volume | 220 | es |
| dc.language.iso | eng | es |
| dc.publisher | Elsevier Science | es |
| dc.relation.alternativeid | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2015.10.018 | |
| dc.relation.alternativeid | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404915002984 | |
| dc.rights | info:eu-repo/semantics/openAccess | * |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | * |
| dc.subject | Cycle Sets | es |
| dc.subject | Yang-Baxter | es |
| dc.subject | Extensions | es |
| dc.subject.classification | Matemática Pura | es |
| dc.subject.classification | Matemáticas | es |
| dc.subject.classification | CIENCIAS NATURALES Y EXACTAS | es |
| dc.title | Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
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