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A Pair of Derivations on Prime Rings with Antiautomorphism

Author

Listed:
  • Faez A. Alqarni

    (Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi Arabia
    These authors contributed equally to this work.)

  • Amal S. Alali

    (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
    These authors contributed equally to this work.)

  • Hafedh Alnoghashi

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    These authors contributed equally to this work.)

  • Nadeem ur Rehman

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    These authors contributed equally to this work.)

  • Claus Haetinger

    (Institute of Mathematics, Statistics and Physics—IMEF, Federal University of Rio Grande—FURG, Rio Grande 96201-900, Brazil
    These authors contributed equally to this work.)

Abstract

This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities. Moreover, we present examples to demonstrate the necessity of the various restrictions imposed in the hypotheses of our theorems.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3337-:d:1206205
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