Generalized derivations with power values on rings and Banach algebras

Generalized derivations with power values on rings and Banach algebras

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 id...

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Bibliographic Details
Main Authors: Abderrahman Hermas, Abdellah Mamouni, Lahcen Oukhtite
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2024-12-01
Series:Mathematica Bohemica
Subjects:
prime ring
generalized derivation
banach algebra
jacobson radical
Online Access:https://mb.math.cas.cz/full/149/4/mb149_4_3.pdf
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