Rings with nilpotent derivations of index ≤ 2
Keywords:
derivation, semiprime ring
Published online:
2014-07-19
Abstract
We prove that a semiprime ring with nilpotent derivations (respectively inner derivations) is differentially trivial (respectively commutative). The Jacobson radical $J(R)$ of a ring $R$ with nilpotent derivations contains all its nilpotent elements.
How to Cite
(1)
Lukashenko, M. Rings With Nilpotent Derivations of Index ≤ 2. Carpathian Math. Publ. 2014, 6, 91-95.