Jordan (θ, θ)*- Derivation Pairs of Rings With Involution

Ikram A. Saed

Ikram A. Saed Applied Mathematics, Department of Applied Sciences, University of Technology, Baghdad, Iraq

Keywords: ring; involution; Jordan (θ, θ)*- derivation pair; (θ, θ)*- derivation pair; Jordan (θ, θ)*- derivation.

Abstract

Let R be a 6-torsion free ring with involution , θ is a mapping of R and let (d,g) : R→R be an additive mapping . In this paper we will give the relation between (θ, θ)*-derivation pair and Jordan (θ, θ)*-derivation pair . Also , we will prove that if (d,g) is a Jordan (θ, θ)*-derivation pair , then d is a Jordan (θ, θ)*-derivation.

Downloads

Download data is not yet available.

References

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

Obaid , A.A.(2009).Additive Mappings on Prime and Semiprime Rings with Involution . Baghdad University (Iraq) . MSC. Thesis .

Yass , S. (2010). Strongly Derivation Pairs on Prime and Semiprime Rings . Baghdad University (Iraq) . MSC. Thesis .

Kadhim , A.K., Sulaiman , H. and Majeed , A.H.(2015). *- Derivation Pair and Jordan *- Derivation Pair on - Ring with Involution . Annals of Pure and Applied Mathematics , 10(2) ,169-177.