%0 Journal Article %T On the structure theorem and the Maschke type theorem of Doi Hom-Hopf modules %A Shuangjian Guo %A Xiaohui Zhang %J Mathematics %D 2015 %I arXiv %X We give necessary and sufficient conditions for the functor that forgets the $(C, \gamma)$-coaction to be separable. This leads to a generalized notion of integrals. Finally, the applications of our results are considered. %U http://arxiv.org/abs/1501.02360v1