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• W2029563507 startingPage "1188" @default.
• W2029563507 abstract "Let R be a prime ring with Utumi quotient ring U and m, n fixed positive integers. If R admits a generalized derivation F associated with a derivation d such that (F([x, y]))m = [x, y]n for all x, y ∈ R, then R is commutative or d = 0. Moreover, we also examine the cases R is a semiprime ring. Finally, we apply the above result to Banach algebras, and we obtain a noncommutative version of the Singer–Wermer theorem." @default.
• W2029563507 created "2016-06-24" @default.
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• W2029563507 date "2013-03-06" @default.
• W2029563507 modified "2023-09-27" @default.
• W2029563507 title "Generalized Derivations of Rings and Banach Algebras" @default.
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• W2029563507 doi "https://doi.org/10.1080/00927872.2011.642043" @default.
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