
doi: 10.1007/bf02844890
handle: 11570/2205187
The purpose of this note is to prove that if \(R\) is a 2-torsion free semiprime ring with a derivation \(D\) and Lie ideal \(U\) satisfying \(D^ 2(U)=0\), then \(D(U)\) is in the center of \(R\).
Prime and semiprime associative rings, Lie ideal, center, Rings with involution; Lie, Jordan and other nonassociative structures, derivation, semi-prime ring, Automorphisms and endomorphisms, Center, normalizer (invariant elements) (associative rings and algebras)
Prime and semiprime associative rings, Lie ideal, center, Rings with involution; Lie, Jordan and other nonassociative structures, derivation, semi-prime ring, Automorphisms and endomorphisms, Center, normalizer (invariant elements) (associative rings and algebras)
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