Lie ideals and generalized derivations in prime rings and Banach algebras

Document Type : Original Article

Authors

Karim Bouchannafa

Abderrahmane Hermas

Lahcen Oukhtite

Department of Mathematics, Faculty of Sciences and Technology, Sidi Mohamed ben Abdellah University, Fez, Morocco

10.22034/kjm.2023.354981.2624

Abstract

Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R$. The main purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities on $L$. Moreover, using a topological approach based on Baire’s category theorem and some properties of functional analysis, our results have been extended to Banach algebras.

Keywords

Prime rings

Lie ideals

generalized derivations

Banach algebras

Subjects

• 16 Associative rings and algebras

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