HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.39, sa.4, ss.577-582, 2010 (SCI-Expanded)
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.