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In this paper we introduce the notion of a smarandache completely prime ideal with respect to an element belated to a near field of a near ring N (b-s-c.p.i) of N. We study some properties of this new concept and link it with some there types of ideals of a near ring. Keywords : Smarandache Completely Prime, Near Ring.

A smarandache completely prime ideal with respect to an element of near ring