Lounici ZinebZeghloul Asma2023-03-012023-03-012022MTM/340http://10.10.1.6:4000/handle/123456789/3521In this memory we discuss and characterize several set-theoretic solutions of the Yang-Baxter equation obtained using skew lattices, an algebraic structure that has not yet been related to the Yang-Baxter equation. Such solutions are degenerate in general, and thus different from solutions obtained from braces and other algebraic structures. Our main result concerns a description of a set-theoretic solution of the Yang-Baxter equation, obtained from an arbitrary skew lattice. We also provide a construction of a cancellative and distributive skew lattice on a given family of pairwise disjoint sets. Dans ce mémoire, nous discutons et caractérisons plusieurs ensembles des solutions théories de l’équation de Yang-Baxter obtenues par les treillis asymétrique, c’est une autre approche autre que les espaces vectoriels liée à la recherche de la solution de l’équation de Yang-Baxter, de telles solutions sont dégénérées en général. Ces résultats ont été tirés de l’article•frYang-BaxterThesis