13 citations · 18 across the 5 of their papers we have counts for
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BiHom-Lie superalgebra structures
Shengxiang Wang, Shuangjian Guo
The aim of this paper is to introduce the notion of BiHom-Lie superalgebras. This class of algebras is a generalization of both BiHom-Lie algebras and Hom-Lie superalgebras. In thi…
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…
Enveloping actions for twisted partial actions
Shuangjian Guo, Shengxiang Wang
Let A#_{α, ω}H be a partial crossed product. In this paper, we first generalize the theorem about the existence of an enveloping action to twisted partial actions. Second, we const…
Relative Hom-Hopf modules and total integrals
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
Let $(H, \a)$ be a monoidal Hom-Hopf algebra and $(A, \b)$ a right $(H, \a)$-Hom-comodule algebra. We first investigate the criterion for the existence of a total integral of $(A,…
Braided monoidal categories and Doi Hopf modules for monoidal Hom-Hopf algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
We first introduce the notion of Doi Hom-Hopf modules and find the sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. Also we obtain the condition for th…