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

页码：97 / 118

页数：22

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