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GÖLBAŞI, ÖZNUR; KOÇ, EMİNE
Turkish journal of mathematics, 01/2011, Letnik: 35, Številka: 1Journal Article
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If u, f(u) ∈ Z, for all u ∈ U, then U ⊂ Z. (ii) (f,d)and(g, h) be two generalized derivations of R such that f(u)v = ug(v), for all u, v ∈ U, then U ⊂ Z. (iii) f(u, v) = ±u, v, for all u, v ∈ U, then U ⊂ Z.
