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

Abstract EN

In this paper ,we introduce the notions 3-semiprime ideal with respect to an element x denoted by (x-3-S-P-I ) of a near ring and the 3-semiprime ideal near ring with respect to an element x denoted by (x-3-S-P-I near ring ),and we studied the image and inverse image of x-3-S-P-I under epimomorphism and the direct product of x-3-S-P-I of near ring and we extension to fuzzify this notions and give some properties and examples about this.