Author : Ali Mohammed, Mohanad
journal of kerbala university,
2012, Volume 8, Issue 1, Pages 285-301
In this paper , we introduce the notions of completely prime ideal with respect to an element x denoted By (x-C.P.I) of a near ring and the completely prime ideals near ring with respect to an element x.
Also we study the image and inverse image of x-C.P.I under epimomorphism and the direct product of x-C.P.I near ring are studied, and some types of ideals that becomes (x-C.P.I) of a near ring,and the Relationships between the completely prime ideal with respect to an element x of a near ring N and some other types of ideals