Let R be a prime ring and L a Lie ideal of R. The purpose of this paper is to classify generalized derivations F1,F2,F3 of R satisfying the following differential identity (Formula presented.) where ⊥ represents either the Lie product [.,.], or the Jordan product ∘. Furthermore, as an application, the same identities are studied locally on nonvoid open subsets of prime Banach algebras
Certain differential identities on prime rings and Banach algebras
De Filippis V.;
2024-01-01
Abstract
Let R be a prime ring and L a Lie ideal of R. The purpose of this paper is to classify generalized derivations F1,F2,F3 of R satisfying the following differential identity (Formula presented.) where ⊥ represents either the Lie product [.,.], or the Jordan product ∘. Furthermore, as an application, the same identities are studied locally on nonvoid open subsets of prime Banach algebrasFile in questo prodotto:
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