Abstract
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.
Language: English
Page range: 227 - 235
Submitted on: Mar 22, 2017
Accepted on: Sep 21, 2017
Published on: Aug 24, 2018
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2018 Irena Kosi-Ulbl, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.