Nonhomogeneous associative Yang-Baxter equations

被引：0
|
作者：
Ma, Tianshui [1 ]
Li, Jie [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2022年 / 65卷 / 01期
关键词：
Nonhomogeneous associative Yang-Baxter equations; Rota-Baxter system; covariant bialgebra; ALGEBRAS; OPERATORS; BIALGEBRAS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of associative (BiHom-)Yang-Baxter pair of weight (lambda, gamma) which can provide the solution to the double curved Rota-Baxter (BiHom-)system. Equivalent characterizations of (quasitriangular) covariant BiHom-bialgebra are given. We also prove that associative BiHom-Yang-Baxter equation of weight -1 can be obtained by the unitary quasitriangular covariant BiHom-bialgebra. At last, we present two approaches to construct (BiHom-)pre-Lie modules from Rota-Baxter (BiHom-) paired modules.
引用
收藏
页码：97 / 118
页数：22
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