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The overall goal of this study is to prove that in a prime ring with an involution * and satisfying specific conditions on derivations, the set of Hermitian elements can coincide with the center. Moreover, analogous results can be found for the set of skew-Hermitian elements.

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Derivations in Prime Ring with Involution Involving Symmetric Elements

  • 会议论文

  • 发表日期：

    2025年

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  • H. Fihi,
  • A. Mamouni,
  • K. Ouarghi

摘要

The overall goal of this study is to prove that in a prime ring with an involution * and satisfying specific conditions on derivations, the set of Hermitian elements can coincide with the center. Moreover, analogous results can be found for the set of skew-Hermitian elements.