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A Note on Skew Derivations and Antiautomorphisms of Prime Rings

Author

Listed:
  • Faez A. Alqarni
  • Nadeem U. R. Rehman
  • Hafedh Alnoghashi
  • Junaid Nisar
  • Omar Al-Mallah

Abstract

In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings. Furthermore, examples demonstrate that the conditions imposed on the hypotheses are essential.

Suggested Citation

  • Faez A. Alqarni & Nadeem U. R. Rehman & Hafedh Alnoghashi & Junaid Nisar & Omar Al-Mallah, 2025. "A Note on Skew Derivations and Antiautomorphisms of Prime Rings," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5589151
    DOI: 10.1155/jom/5589151
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    References listed on IDEAS

    as
    1. Yuqiu Sheng & Wende Liu & Yang Liu & Ljubisa Kocinac, 2024. "Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras," Journal of Mathematics, Hindawi, vol. 2024, pages 1-9, March.
    2. Hafedh M. Alnoghashi & Sabah Naji & Nadeem ur Rehman & Li Guo, 2023. "On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, February.
    3. A. M. Khaled & A. Ghareeb & M. S. Tammam El-Sayiad & Faranak Farshadifar, 2023. "Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, May.
    4. Amal S. Alali & Shakir Ali & Naira N. Rafiquee & Vaishali Varshney & Faranak Farshadifar, 2024. "Higher Derivations Satisfying Certain Identities in Rings," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, February.
    5. Faez A. Alqarni & Amal S. Alali & Hafedh Alnoghashi & Nadeem ur Rehman & Claus Haetinger, 2023. "A Pair of Derivations on Prime Rings with Antiautomorphism," Mathematics, MDPI, vol. 11(15), pages 1-15, July.
    6. Husain Alhazmi & Mohd Arif Raza & Abdul Nadim Khan & Tahani AL-Sobhi & Ali Jaballah, 2024. "On Mixed Nonlinear Skew Lie (Jordan) Products on Von Neumann Algebras," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, June.
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