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In this paper, we establish commutativity theorems for a \(\sigma \) -prime ring with an involution, where generalized derivations adhere to specific differential identities. We have also derived familiar results regarding the commutativity of prime rings. Finally, we offer an example to demonstrate that the condition presumed in our results is essential.

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A Note on Differential Identities in  \(\sigma \) -Prime Ring with Generalized Derivations

  • 会议论文

  • 发表日期：

    2025年

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  • Md Arshad Madni,
  • Muzibur Rahman Mozumder

摘要

In this paper, we establish commutativity theorems for a \(\sigma \) -prime ring with an involution, where generalized derivations adhere to specific differential identities. We have also derived familiar results regarding the commutativity of prime rings. Finally, we offer an example to demonstrate that the condition presumed in our results is essential.