ON ONE SIDED STRONGLY PRIME IDEALS

Authors : Feride KUZUCUOGLU

Pages : 577-582

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Publication Date : 2010-04-01

Article Type : Research Paper

Abstract :The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring. We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring. We also give various conditions on a noncommutative ring R so that R is 2-primal.
Keywords : Prime right ideal, Strongly prime right ideal, 2 primal ring, AC ring, Regular ring, 2000 AMS Classification 17 B 40