On Rings With Types Of (n)-Regularity

1 , an element a in R is said to be (n)-regular ( (n)-strongly regular) if there exists b in R such that a=abna (a=a2bn) . So a ring R is said to be (n)-regular ( (n)-strongly regular) for a positive integer n 1 , if every element of R is (n)-regular ( (n)-strongly regular) .In this paper we investigate some characterizations and several basic properties of those rings , also the connection between them and rings of some kind of commutivity .]]>