Abstract
The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R→R an additive mapping such that T is left (right) Jordan θ-centralizers on R. Then T is a left (right) θ-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where θ be surjective endomorphism of R . It is also proved that if T(xoy)=T(x)oθ(y)=θ(x)oT(y) for all x, y є R and θ-centralizers of R coincide under same condition and θ(Z(R)) = Z(R) .
Article Type
Article
How to Cite this Article
Majeed, Abdulrahman H. and Meften, Mushreq I.
(2010)
"Jordan θ-Centralizers of Prime and Semiprime Rings,"
Baghdad Science Journal: Vol. 7:
Iss.
4, Article 19.
DOI: https://doi.org/10.21123/bsj.2010.7.4.1426-1431
