Completely Semi Prime Ideal With Respect To An Element Of A Near Ring

In this paper ,we introduce the notions of completely semi prime ideal with respect to an element x (x-C.S.P.I) of a near ring and the completely semi prime ideal near ring with respect to an element x (x-C.S.P.I ) . 1. The image and inverse image of x-C.S.P.I under epimomorphism and the 2. direct product of x-C.S.P.I near ring are studied