摘要： 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.
