In this paper we obtain new solutions of the Yang-Baxter equation that are left non-degenerate throught left semi-braces, a generalization of braces introduced by Rump. In order to provide new solution we introduce the asymmetric product of left semi-braces, a genralization of the semidirect product of braces, that allow us to produce several examples of left semi-braces.
Semi-braces and the Yang-Baxter equation
Catino, Francesco;Colazzo, Ilaria;Stefanelli, Paola
2017-01-01
Abstract
In this paper we obtain new solutions of the Yang-Baxter equation that are left non-degenerate throught left semi-braces, a generalization of braces introduced by Rump. In order to provide new solution we introduce the asymmetric product of left semi-braces, a genralization of the semidirect product of braces, that allow us to produce several examples of left semi-braces.File in questo prodotto:
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