Commutativity of Addition in Prime Near-Rings with Right (θ,θ)-3-Derivations
DOI:
https://doi.org/10.24297/jam.v14i1.7185Keywords:
Right (θ,θ)-3-Derivation, Prime Near-Ring, Near-Ring, (θ,θ)-3-DerivationAbstract
Let N be a near-ring and is a mapping on N . In this paper we introduce the notion of right ()-3-derivation in near-ring N. Also, we investigate the commutativity of addition of prime near-rings satisfying certain identities involving right ()-3-derivation.
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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 (σ,τ)- 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.
[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 (σ,τ)- 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.
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Published
2018-04-13
How to Cite
Saed, I. A. (2018). Commutativity of Addition in Prime Near-Rings with Right (θ,θ)-3-Derivations. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7533–7539. https://doi.org/10.24297/jam.v14i1.7185
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