On N–Flat Rings

Let I be a right ideal of R, then R / I is a right Nflat if and only if for each a I, there exists b 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.