English

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

Rings and Algebras 2021-08-17 v1

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.

Keywords

Cite

@article{arxiv.2108.06461,
  title  = {Hom-Yang-Baxter equations and Hom-Yang-Baxter systems},
  author = {Shengxiang Wang and Xiaohui Zhang and Shuangjian Guo},
  journal= {arXiv preprint arXiv:2108.06461},
  year   = {2021}
}

Comments

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R2 v1 2026-06-24T05:06:39.697Z