Rings with nilpotent derivations of index $\leq 2$

M. P. Lukashenko

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.

Keywords


derivation, semiprime ring

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