Title of article :
ON ONE SIDED STRONGLY PRIME IDEALS
Author/Authors :
Kuzucuoglu, Feride Hacettepe University - Department of Mathematics, Turkey
Abstract :
The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring. We prove that the inter-section 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
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics