JOURNAL ARTICLE

Generalized derivations with powercentral values on Lie ideals and Banach algebras.

  • Published In: Journal of Algebra & Its Applications, 2026, v. 25, n. 9. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Hermas, Abderrahman; Oukhtite, Lahcen 3 of 3

Abstract

Let R be a prime ring and L a non-central Lie ideal of R. We aim in this paper to classify generalized derivations F of R satisfying the following algebraic identity: a F (u v) s − γ (u v) t n ∈ Z (R) for all  u , v ∈ L , where a ∈ R , γ in C the extended centroid of R and n , s , t are fixed positive integers. Moreover, we extend our analysis to the semiprime ring R and discuss applications such as deriving range inclusion results for continuous generalized derivations on Banach algebras. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Algebra & Its Applications. 2026/08, Vol. 25, Issue 9, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2026
  • ISSN:0219-4988
  • DOI:10.1142/S0219498826500878
  • Accession Number:193143742
  • Copyright Statement:Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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