الخلاصة

In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and we studied the image and inverse image of x-3-prime ideal under epimomorphism and the direct product of x-3-prime ideal of near ring .