中文摘要：

作为Hopf代数上的对角交叉积的推广,构造了monoidal Hom-Hopf代数上的对角交叉积,并研究了其和Yetter-Drinfeld Hom-模之间的关系,即Yetter-Drinfeld Hom-模范畴同构于对角交叉积的左模范畴。

英文摘要：

The diagonal crossed products over ordinary Hopf algebras to monoidal Hom-Hopf algebras is generalized.Furthermore,it is proved that the category of Yetter-Drinfeld Hom-modules is isomorphic to the category of left modules over the diagonal crossed products.