Generalized Jordan derivations on semiprime rings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- 10.48550/arXiv.1805.00009
- arXiv:
- arXiv:1805.00009
- Bibcode:
- 2018arXiv180500009F
- Keywords:
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- Mathematics - Rings and Algebras;
- 16W25;
- 47B47
- E-Print:
- 9 pages