A smarandache completely prime ideal with respect to an element of near ring
Abstract
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.
About this article
References
[1] G. Pilz, “Near Ring ", North Holland Publ and Co., 1977.
[2] H.A. Abujabal, M.A obaid and M.A. han, "On structure and Commutatitiy of near Rings", An to fagasta – chule, 2000.
[3] H.H Abbass and M.A. Who Mmed, "On alompletely prime Ideal with respect to an element of a near ring", J. of Kerbala university. Vol. 10, No 3, 2012.
[4] H.H Abbass and S.M. Ibrahem, "On Fuzzy completely semi orime Ideal with respect to an element of a near Ring", M Sc. Thesis university of Kufa 2011.
[5] N.J Groenewatd, "The completely prim radical near rings", Acta Math. Hung, VO 133, 1988.
View more references (2)
[6] P. Dheena and G. Sathesh Kumar, "Completely z-prime Ideal in near ring", India, 2007.
[7] W.B Vasantha and A. Samy, "Samarandache near ring", U.S. America research press, 2002.