ON GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS

Authors : Farkhonde FARZALİPOUR, Peyman GHİASVAND

Pages : 15-22

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Publication Date : 2013-06-01

Article Type : Research Paper

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.
Keywords : graded semiprime, graded weakly semiprime, graded secondary