Some Studies Of Hom-L-R-smash Product

There are two parts in this thesis.Firstly,we study the Maschke-type theorem for Hom-L-R-smash product on a finite dimension semisimple Hom-Hopf algebra(H,αH)Secondly,we discuss the Morita context between the Hom-L-R-smash product(A#H,αA(?)αH)and Hom-subalgebra(AbiH,αA |AbiH).