## On left $$(\theta,\varphi)$$-derivations of prime rings.(English)Zbl 1114.16031

The author proves that every Jordan left $$(\theta,\theta)$$-derivation on a 2-torsion free ring is a left $$(\theta,\theta)$$-derivation. A consequence is that every left $$(\theta,\varphi)$$-derivation acting on a nonzero ideal of a prime ring as a homomorphism is trivial.
Reviewer: David Kruml (Brno)

### MSC:

 16W25 Derivations, actions of Lie algebras 16N60 Prime and semiprime associative rings

### Keywords:

Lie ideals; Jordan left derivations
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