ON ONE SIDED STRONGLY PRIME IDEALS

Abstract

ON ONE SIDED STRONGLY PRIME IDEALS

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

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