most citedRelative Hom-Hopf modules and total integrals

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math.RA2014★ 4 cited

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,…

math.RA2014

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…