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Generalized derivations with power values on rings and Banach algebras

Abderrahman Hermas; Abdellah Mamouni; Lahcen Oukhtite — 2024

Mathematica Bohemica

Let $R$ be a prime ring and $I$ a nonzero ideal of $R .$ The purpose of this paper is to classify generalized derivations of $R$ satisfying some algebraic identities with power values on $I .$ More precisely, we consider two generalized derivations $F$ and $H$ of $R$ satisfying one of the following identities: (1)

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