In this paper we investigate the following conditions.
(i) xy = (xy)n(x,y)
(ii) xy = (xy)n(x,y)
(iii) xy = ym(x,y)xn(x,y)
(iv) xy = xyn(x,y)x
(v) xy = xn(x,y)ym(x,y) and finally prove that under appropriate additional hypothesis a d - g near ring must be commutative ring. The Theorem proved here is generalization of many recently established results.
