A Maschke type theorem for relative Hom-Hopf modules
  In this paper, we prove a Maschke type theorem for the category of relative Hom-Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the $(H, \a)$-coaction to be separable. This leads to a generalized notion of integrals. 
Shuang-jian Guo and Xiu-li Chen
math.RA