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The primary objective of this paper is to classify generalized derivations on a prime ring R that satisfy certain algebraic identities. Furthermore, we investigate the local behavior of these identities on open subsets of prime Banach algebras.

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On Commutativity with Generalized Derivations Acting on Prime Rings and Banach Algebras

  • 会议论文

  • 发表日期：

    2025年

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  • Abderrahman Hermas,
  • Lahcen Oukhtite

摘要

The primary objective of this paper is to classify generalized derivations on a prime ring R that satisfy certain algebraic identities. Furthermore, we investigate the local behavior of these identities on open subsets of prime Banach algebras.