Hom-Yang-Baxter equations and Hom-Yang-Baxter systems

Published 14 Aug 2021 in math.RA | (2108.06461v1)

Abstract: In this paper, we mainly present some new solutions of the Hom-Yang-Baxter equation from Hom-algebras, Hom-coalgebras and Hom-Lie algebras, respectively. Also, we prove that these solutions are all self-inverse and give some examples. Finally, we introduce the notion of Hom-Yang-Baxter systems and obtain two kinds of Hom-Yang-Baxter systems.

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