On a functional equation related to two-sided centralizers
Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue
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 $T:R→R$ $$3T(x^n) =T(x)x^{n−1}+xT(x^{n−2})x+x^{n−1}T(x), x∈R,$$ is also fulfilled. Then $T$ is a two-sided centralizer.
Authors and Affiliations
Irena Kosi-Ulbl
Keywords
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