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arXiv · 1805.00009

Generalized Jordan derivations on semiprime rings

Bruno L M Ferreira·Henrique Guzzo Jr.·Ruth N. Ferreira
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Abstract

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

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Bruno L M Ferreira, Henrique Guzzo Jr., Ruth N. Ferreira. 2018-04-30. Generalized Jordan derivations on semiprime rings. https://arxiv.org/abs/1805.00009

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