  Let H be a finite dimensional Hopf algebra over a field k and A an H-module
algebra over k. Khovanov and Qi defined acyclic objects and quasi-isomorphisms
by using null-homotopy and contractible objects. They also defined the
cofibrant objects, the derived category of A#H-modules, and showed properties
of compact generators. On the other hand, a model structure on the category of
A#H-modules are not mentioned yet. In this paper, we check that the category of
A#H-modules admits a model structure, where the cofibrant objects and the
derived category are just those defined by Qi. We also show that the model
structure is cofibrantly generated.
