3 citations · 4 across the 5 of their papers we have counts for
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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
Hui Hu, Yizhen Li, Guilai Liu +1
In this paper, we develop a bialgebra theory for diassociative algebras. Inspired by the notion of a quadratic diassociative algebra, we introduce the concept of a Manin triple of…
Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras
Yizheng Li, DIngguo Wang
In this paper, we construct a differential graded Lie algebra whose Maurer-Cartan elements are given by crossed homomorphisms on Leibniz algebras. This allows us to define cohomolo…
Cohomology and Deformation theory of Modified Rota-Baxter Leibniz algebras
Yizheng Li, Dingguo Wang
In this paper, we define the cohomology of a modified Rota-Baxter Leibniz algebra with coefficients in a suitable representation. As applications of our cohomology, we study formal…
Yetter-Drinfeld modules for weak Hom-Hopf algebras
Shuangjian Guo, Yizheng Li, Shengxiang Wang
The aim of this paper is to define and study Yetter-Drinfeld modules over weak Hom-Hopf algebras. We show that the category of Yetter-Drinfeld modules with bijec…
Enveloping actions and duality theorems for partial twisted smash products
Shuangjian Guo, Shengxiang Wang
In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Second, we construct a Morita context between the par…