Ukrainian Mathematical Journal

, Volume 63, Issue 5, pp 690–698

# On generalized derivations satisfying certain identities

• E. Albaş
Article
Let R be a prime ring with char R ≠ 2 and let d be a generalized derivation on R. We study the generalized derivation d satisfying any of the following identities:
1. (i)

d[(x, y)] = [d(x), d(y)] for all x , yR ;

2. (ii)

d[(x, y)] = [d(y), d(x)] for all x , yR ;

3. (iii)

either d([x, y]) = [d(x), d(y)] or d([x, y]) = [d(y), d(x)] for all x , yR .

## Keywords

Prime Ring Generalize Derivation Proper Subgroup Quotient Ring Semiprime Ring
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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