Abstract:  Let G be a group,R be a G-graded ring,jG|-¹∈R,this paper deals with some relative properties of R and smash product R#G.We give out R is graded regular ring,graded  rig+SF-ring,graded  right   V-ring,graded  QF-ring  if and only  if R is  regular  ring,right SF-r ,right V-ring and QF-ring respectively.

Key words:  , graded ring, smash product, regular ring