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

  • Authors

    • Kareem AL-Ghurabi University of Babylon

    Received date: April 14, 2014

    Accepted date: May 9, 2014

    Published date: May 31, 2014

    https://doi.org/10.14419/ijbas.v3i3.2450
  • 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.

  • 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.
    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.
  • Downloads

    Additional Files

  • How to Cite

    AL-Ghurabi, K. (2014). A smarandache completely prime ideal with respect to an element of near ring. International Journal of Basic and Applied Sciences, 3(3), 155-159. https://doi.org/10.14419/ijbas.v3i3.2450

    Received date: April 14, 2014

    Accepted date: May 9, 2014

    Published date: May 31, 2014