AL-Rafidain Journal of Computer Sciences and Mathematics

Abstract

Let I be a right ideal of R, then R / I is a right N–flat if and only if for each a Î I, there exists b Î I and a positive integer n such that aⁿ ≠ 0 and aⁿ = baⁿ. In this paper, we first give and develop various properties of right N-flat rings, by which, many of the known results are extended. Also, we study the relations between such rings and regular, p-biregular ring.