ON ONE SIDED STRONGLY PRIME IDEALS

Year 2010, Volume: 39 Issue: 4, 577 - 582, 01.04.2010

Feride Kuzucuoglu

https://izlik.org/JA48BG45EL

Abstract

ON ONE SIDED STRONGLY PRIME IDEALS

https://izlik.org/JA48BG45EL

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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