4 citations · 11 across the 11 of their papers we have counts for
18 papers
Hom-Yang-Baxter equations and Hom-Yang-Baxter systems
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
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…
The Hom-Long dimodule category and nonlinear equations
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
In this paper, we construct a kind of new braided monoidal category over two Hom-Hopf algerbas and and associate it with two nonlinear equations. We first introduce…
On split regular Hom-Leibniz-Rinehart algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
In this paper, we introduce the notion of the Hom-Leibniz-Rinehart algebra as an algebraic analogue of Hom-Leibniz algebroid, and prove that such an arbitrary split regular Hom-Lei…
On BiHom-analogue of generalized Lie algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
In this paper, we introduce the definition of generalized BiHom-Lie algebras and generalized BiHom-Lie admissible algebras in the category of left modules for an…
On 3-Hom-Lie-Rinehart algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
We introduce the notion of 3-Hom-Lie-Rinehart algebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we consider extensions of a…
Representations and deformations of Hom-Lie-Yamaguti superalgebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
Let be a Hom-Lie-Yamaguti superalgebra. We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras. Furthermore, we introduce the notion…