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dc.contributor.author
Vendramin, Claudio Leandro  
dc.date.available
2018-09-14T20:49:02Z  
dc.date.issued
2016-05  
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  
dc.identifier.issn
0022-4049  
dc.identifier.uri
http://hdl.handle.net/11336/59797  
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Cycle Sets  
dc.subject
Yang-Baxter  
dc.subject
Extensions  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-14T13:16:02Z  
dc.journal.volume
220  
dc.journal.number
5  
dc.journal.pagination
2064-2076  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
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.journal.title
Journal Of Pure And Applied Algebra  
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  

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