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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. © 2015 Elsevier B.V.

Registro:

Documento: Artículo
Título:Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
Autor:Vendramin, L.
Filiación:Depto. de Matemática, FCEN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Año:2016
Volumen:220
Número:5
Página de inicio:2064
Página de fin:2076
DOI: http://dx.doi.org/10.1016/j.jpaa.2015.10.018
Título revista:Journal of Pure and Applied Algebra
Título revista abreviado:J. Pure Appl. Algebra
ISSN:00224049
CODEN:JPAAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v220_n5_p2064_Vendramin

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Citas:

---------- APA ----------
(2016) . Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. Journal of Pure and Applied Algebra, 220(5), 2064-2076.
http://dx.doi.org/10.1016/j.jpaa.2015.10.018
---------- CHICAGO ----------
Vendramin, L. "Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova" . Journal of Pure and Applied Algebra 220, no. 5 (2016) : 2064-2076.
http://dx.doi.org/10.1016/j.jpaa.2015.10.018
---------- MLA ----------
Vendramin, L. "Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova" . Journal of Pure and Applied Algebra, vol. 220, no. 5, 2016, pp. 2064-2076.
http://dx.doi.org/10.1016/j.jpaa.2015.10.018
---------- VANCOUVER ----------
Vendramin, L. Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. J. Pure Appl. Algebra. 2016;220(5):2064-2076.
http://dx.doi.org/10.1016/j.jpaa.2015.10.018