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

Abstract

In this paper ,we introduce the notions of smarandache completely semi prime ideal (S.C.S.P.I),and smarandache completely semi prime ideal with respect to an element x of a near ring N denoted by (x-S.C.S.P.I) , and smarandache completely semi prime ideal with respect to an element x near ring .Also we give some properties of these notions

Keywords

• Near ring ,ideal of near ring
• , near-ring homomorphism,
• the direct product of the near-rings
• completely semi prime ideal
• completely semi prime ideal with respect to an element of a near ring
• near field,