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arXiv · 2108.06461

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

Shengxiang Wang·Xiaohui Zhang·Shuangjian Guo
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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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Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo. 2021-08-14. Hom-Yang-Baxter equations and Hom-Yang-Baxter systems. https://arxiv.org/abs/2108.06461

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