主要证明了相关Yetter-Drinfel'd Hopf代数上的相关Hopf模结构定理,不仅推广了Yetter-Drinfel'd Hopf代数上的Hopf模结构定理,而且推广了相关Hopf模结构定理.同时,给出相关Yetter-Drinfel'd Hopf代数上的Maschke定理.
The paper is concerned with the fundamental theorem of relative Hopf modules for relative Yetter-Drinfel'd Hopf algebras,which not only generalizes the fundamental theorem of Hopf modules for Yetter-Drinfel'd Hopf algebras,but also generalizes the fundamental theorem of relative Hopf modules.Moreover,Maschke Theorem for relative Yetter-Drinfel'd Hopf algebras is given.