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De Filippis, Vincenzo; Huang, Shuliang
Daehan suhak hoebo/Bulletin of the Korean Mathematical Society, 11/2011, Letnik: 48, Številka: 6Journal Article
Let R be a prime ring, I a nonzero ideal of R and n a fixed positive integer. If R admits a generalized derivation F associated with a derivation d such that (F(x,y))^n=x,y for all x, y∈ I. Then either R is commutative or n=1, d=0 and F is the identity map on R. Moreover in case R is a semiprime ring and (F(x,y))^n=x, y for all x, y∈ R, then either R is commutative or n=1, d(R)⊆ Z(R), R contains a non-zero central ideal and F(x)-x ∈ Z(R) for all x∈ R. KCI Citation Count: 5
