4 citations · 6 across the 6 of their papers we have counts for
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On the structure theorem and the Maschke type theorem of Doi Hom-Hopf modules
Shuangjian Guo, Xiaohui Zhang
We give necessary and sufficient conditions for the functor that forgets the -coaction to be separable. This leads to a generalized notion of integrals. Finally, the applic…
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,…
A Maschke type theorem for relative Hom-Hopf modules
Shuang-jian Guo, Xiu-li Chen
In this paper, we prove a Maschke type theorem for the category of relative Hom-Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the…
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…