Abstract
ABSTRACT The main goal of the work is to study a strongly -regular rings, which was introduce by Mohammad A. J. and Salih. S. M. in (2006). That is, a ring R is said to be strongly -regular if for every a R there exists bR and a positive integer n≠1 such that a = a2bn. We will study some basic properties of those rings. Finally, we show the relation between strongly -regular rings and other rings.