A CHARACTERIZATION OF TWO-SIDED CENTRALIZERS ON PRIME RINGS

Joso Vukman, Maja Fošner

Source record

Source: Crossref

Published: Dec 1, 2007

DOI: 10.11650/twjm/1500404876

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Source 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.

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A CHARACTERIZATION OF TWO-SIDED CENTRALIZERS ON PRIME RINGS — Mathematical Frontier Network