On Generalized (θ, θ) -3 -Derivations in Prime Near-Rings

  • Ikram A. Saed Department of Applied Science, University of Technology, Baghdad, Iraq
Keywords: Near-ring; prime near-ring; (θ, θ )-3-derivation; generalized (θ, θ )-3- derivation

Abstract

Let N be a near-ring and is a mapping on N . In this paper we introduce the notion of generalized (θ, θ)-3-derivation in near-ring N . Also we investigate the commutativity of addition of near-rings satisfying certain identities involving generalized (θ,θ)-3-derivation on prime near-rings.

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References

Herstein , I. N. (1969) .Topics in Ring Theory , University of Chicago Press, Chicago .

Ashraf , M. and Siddeeque , M.A.(2013). On ( )- n – derivations in near-rings . Asian – European Journal of Mathematics , 6(4), 14 pages .

Ashraf , M. and Siddeeque , M.A.(2014). On generalized n- derivations in near-rings . Palestine Journal of Mathematics , 3(1), 468-480 .

Adhab , E.F. (2016). n-Additive Mappings in Prime and Semiprime Near-Rings . Baghdad University (Iraq) .PHD. Thesis .

Published
2017-05-05
How to Cite
Saed, I. (2017). On Generalized (θ, θ) -3 -Derivations in Prime Near-Rings. Journal of Progressive Research in Mathematics, 12(1), 1729-1738. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1086
Issue
Vol 12 No 1: JPRM
Section
Articles

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