Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
复制标题
Hom-Yang-Baxter 方程和 Hom 循环集的集合理论解
DOI：
10.1016/j.jalgebra.2023.05.004
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发表时间：
2022
影响因子：
0.9
通讯作者：
Xiankun Du
中科院分区：
文献类型：
--
作者：
Kaiqiang Zhang;Xiankun Du
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which have also been developed. No work focuses on set-theoretic solutions to the Hom-Yang-Baxter equation (HYBE for short). This paper investigates set-theoretic solutions to HYBE and associated algebraic system, called Hom-cycle sets. We characterize left non-degenerate involutive set-theoretic solutions to HYBE and Hom-cycle sets, and establish their relations. We discuss connections among Hom-cycle sets, cycle sets, left non-degenerate involutive set-theoretic solutions to HYBE and the Yang-Baxter equation.
动态 YangâBaxter 映射的箭袋理论方法
影响因子：
0.9
作者：
D. K. Matsumoto;K. Shimizu
通讯作者：
K. Shimizu
动态支撑和动态 YangâBaxter 贴图
影响因子：
0.8
作者：
D. K. Matsumoto
通讯作者：
D. K. Matsumoto