Open Access
2007 A CHARACTERIZATION OF TWO-SIDED CENTRALIZERS ON PRIME RINGS
Joso Vukman, Maja Fošner
Taiwanese J. Math. 11(5): 1431-1441 (2007). DOI: 10.11650/twjm/1500404876

Abstract

In this paper we prove the following result: Let $R$ be a prime ring of characteristic different from two and let $T: R \to R$ be an additive mapping satisfying the relation $T(x^3) = xT(x)x$ for all $x \in R$. In this case $T$ is a two-sided centralizer.

Citation

Download Citation

Joso Vukman. Maja Fošner. "A CHARACTERIZATION OF TWO-SIDED CENTRALIZERS ON PRIME RINGS." Taiwanese J. Math. 11 (5) 1431 - 1441, 2007. https://doi.org/10.11650/twjm/1500404876

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1148.16033
MathSciNet: MR2368661
Digital Object Identifier: 10.11650/twjm/1500404876

Subjects:
Primary: 16N60 , 39B05

Keywords: functional identity , left (right) centralizer , Prime ring , semiprime ring , two-sided centralizer

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 5 • 2007
Back to Top