On feckly polar rings

In this paper, we introduce a new notion which lies properly between strong pi-regularity and pseudopolarity. A ring R is feckly polar if for any a is an element of R there exists e is an element of comm(2) (a) such that a - e is an element of U(R), e - e(2) is an element of J(R) and (ae)(n) is an element of J(R) for some n is an element of N. Many structure theorems are proved. Further, we investigate feck polarity for triangular matrix and matrix rings. The relations among strongly pi-regular rings, pseudopolar rings and feckly polar rings are also obtained.