Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A

Abstract:

      M. Cohen and S. Montgomery built the corresponding relations between ideals of the smash product A#G^* and ideals of the identity component A_e for a ring A graded by a finite group G. It is goal of this paper to give the corresponding relations for any group-graded ring, and to apply it to investigate the semisimplicity primeness and primitiveness of the smash product A#G^* and A_e for a graded ring A.