On Graded Weakly Prime Ideals

Authors : Shahabaddin Ebrahimi ATANI

Pages : 351-358

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let G be an arbitrary group with identity e, and let R be a G-graded commutative ring. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in [1]. Here we study the graded weakly prime ideals of a G-graded commutative ring. A number of results concerning graded weakly prime ideals are given. For example, we give some characterizations of graded weakly prime ideals and their homogeneous components.
Keywords : Graded rings, Graded weakly prime ideals