| In this paper, we prove that a finite-group graded ring R is left gr-selfinjective,left gr-PF, left gr-QF and left gr-linearly compact if and only if R is left selfinjective, leftPF, left QF and left linearly compact if and only if its smash product R#G is left selfinjective, left PF, left QF and left linearly compact, repectively. |
