Abstract:

With the help of the notion of integral map of a partial Doi-Hopf module it is proved that an important result in classical representa
tion theoryMaschke theorem still holds for a partial Doi-Hopf module, that is, if (H,A,C) is a partial DoiHopf structure with a normal integral map and map f: M→N is a partial Doi-Hopf module homology, then f has a section map (retraction map)  of right Amodule if and only if it has a section map (retraction map) of partial Doi-Hopf module.

Key words: partial DoiHopf module, Maschketype theorem, H-comodule algebra