Right (θ,θ)-4-Derivations on Prime Near-Rings

Ikram A. Saed

doi:https://doi.org/10.14445/22315373/IJMTT-V54P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 3 | Year 2018 | Article Id. IJMTT-V54P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P524

Right (θ,θ)-4-Derivations on Prime Near-Rings

Ikram A. Saed

Abstract

Let N be a near –ring θ and is a mapping on N .In this paper, we define the concept of right (θ,θ)-4-derivation in near-ring N and we explore the commutativity of addition and multiplication of prime near-ring N satisfying certain identities involving right (θ,θ)-4-derivation on N .

Keywords

near-ring , prime near-ring ,right-4-derivation ,right (θ,θ)-4-derivation

References

[1] I.N. Herstein , Topics in Ring Theory , University of Chicago Press, Chicago,1969.
[2] M. Ashraf , M.A. Siddeeque and Parveen , "On semigroup ideals and n- derivations in near-rings", Science Direct Journal of Taibah University for Science , Vol. 9, pp. 126 – 132 , 2014 .
[3] M. Ashraf and M.A. Siddeeque ,"On ()- n – derivations in near-rings", Asian – European Journal of Mathematics , 6(4) , 14 pages , 2013 .
[4] E.F. Adhab , " n-Additive Mappings in Prime and Semiprime Near-Rings" , PHD. thesis, Baghdad University ,Iraq , 2016 ..

Citation :

Ikram A. Saed, "Right (θ,θ)-4-Derivations on Prime Near-Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 3, pp. 222-227, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P524