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Abstrakty
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 Doi Hom-Hopf modules, and we study tensor identities for monodial categories of Doi Hom-Hopf modules. Furthermore, we construct a braiding on the category of Doi Hom-Hopf modules. Finally, as an application of our theory, we get a braiding on the category of Hom-modules, on the category of Hom-comodules, and on the category of Hom-Yetter-Drinfeld modules.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
79-103
Opis fizyczny
Daty
wydano
2016
Twórcy
autor
- Department of Mathematics, Zhejiang University, Hangzhou, 310027, P.R. China
- School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, P.R. China
autor
- School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P.R. China
autor
- School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, P.R. China
- Department of Mathematics, Nanjing University, Nanjing 210093, P.R. China
Bibliografia
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-cm6509-12-2015