Geodesic
Separable functors for the category of Doi Hom-Hopf modules
Shuangjian Guo 1   ; Xiaohui Zhang 2
1 School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang, 550025, P.R. China
2 School of Mathematical Sciences Qufu Normal University Qufu, Shandong 273165, P.R. China
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 23-37 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $\widetilde{\mathscr{H}}(\mathscr{M}_k)(H)^{C}_{A}$ be the category of Doi Hom-Hopf modules, $\widetilde{\mathscr{H}}(\mathscr{M}_k)_{A}$ be the category of $A$-Hom-modules, and $F$ be the forgetful functor from $\widetilde{\mathscr{H}}(\mathscr{M}_k)(H)^{C}_{A}$ to $\widetilde{\mathscr{H}}(\mathscr{M}_k)_{A}$. The aim of this paper is to give a necessary and suffcient condition for $F$ to be separable. This leads to a generalized notion of integral. Finally, applications of our results are given. In particular, we prove a Maschke type theorem for Doi Hom-Hopf modules.
DOI : 10.4064/cm6382-12-2015
Keywords: widetilde mathscr mathscr category doi hom hopf modules widetilde mathscr mathscr category a hom modules forgetful functor widetilde mathscr mathscr widetilde mathscr mathscr paper necessary suffcient condition separable leads generalized notion integral finally applications results given particular prove maschke type theorem doi hom hopf modules

Shuangjian Guo  1   ; Xiaohui Zhang  2

1 School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang, 550025, P.R. China
2 School of Mathematical Sciences Qufu Normal University Qufu, Shandong 273165, P.R. China 
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Shuangjian Guo; Xiaohui Zhang. Separable functors for the category of Doi Hom-Hopf modules. Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 23-37. doi: 10.4064/cm6382-12-2015

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