30 citations · 50 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
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…
Drinfeld twists for monoidal Hom-bialgebras
Xiaohui Zhang, Xiaofan Zhao
The aim of this paper is to define and study Drinfeld twists for monoidal Hom-bialgebras. We show that a new Hom-bialgebra could be constructed by changing the coproduct of a monoi…
Drinfel'd double for monoidal Hom-Hopf algebras
Yan Ning, Daowei Lu, Xiaohui Zhang
In this paper we mainly construct bicrossproduct for finite-dimensional monoidal Hom-Hopf algebra , generalizing the Majid's bicrossproduct. Naturally the Hom-type bicrosspr…