ON GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS

Abstract

Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define graded semiprime ideals of a commutative G-graded ring with nonzero identity and we give a number of results concerning such ideals. Also, we extend some results of graded semiprime ideals to graded weakly semiprime ideals.