Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang (2016)
Colloquium Mathematicae
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We continue our study of the category of Doi Hom-Hopf modules introduced in [Colloq. Math., to appear]. We find a sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. We also obtain a condition for a monoidal Hom-algebra and monoidal Hom-coalgebra to be monoidal Hom-bialgebras. Moreover, we introduce morphisms between the underlying monoidal Hom-Hopf algebras, Hom-comodule algebras and Hom-module coalgebras, which give rise to functors between the category of...