Published Online: Aug 24, 2018
Page range: 227 - 235
Received: Mar 22, 2017
Accepted: Sep 21, 2017
DOI: https://doi.org/10.1515/amsil-2017-0014
Keywords
© 2018 Irena Kosi-Ulbl, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
The main aim of this manuscript is to prove the following result. Let n > 2 be a fixed integer and R be a k-torsion free semiprime ring with identity, where k ∈ {2, n - 1, n}. Let us assume that for the additive mapping T : R→ R 3T(xn) = T(x)xn-1+ xT(xn-2)x + xn-1T(x), x ∈R, is also fulfilled. Then T is a two-sided centralizer.