Generalized Derivations in Prime Rings and Noncommutative Banach Algebras
نویسندگان
چکیده
Let R be a prime ring of characteristic different from 2, C the extended centroid of R, and δ a generalized derivations of R. If [[δ(x), x], δ(x)] = 0 for all x ∈ R then either R is commutative or δ(x) = ax for all x ∈ R and some a ∈ C. We also obtain some related result in case R is a Banach algebra and δ is either continuous or spectrally
منابع مشابه
A note on power values of generalized derivation in prime ring and noncommutative Banach algebras
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