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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS
Part of
- Rings and algebras with additional structure
- Special classes of linear operators
BRUNO L. M. FERREIRA, RUTH N. FERREIRA, HENRIQUE GUZZO, Jr.
Journal:

Journal of the Australian Mathematical Society / Volume 109 / Issue 1 / August 2020

Published online by Cambridge University Press:

29 July 2019, pp. 36-43

Print publication:

August 2020
- Article
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The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.