On 3-prime ideal with respect to an element of a near ring

Abstract

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 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 .

Keywords

• Near ring
• ,ideal of near ring ,
• 3-prime ideal,
• completely prime ideal
• ,completely semi prime ideal with respect to an element x of N
• , direct near ring the union and intersection ideals .