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Some Classification Theorems and Endomorphisms in New Classes

Author

Listed:
  • Hafedh Alnoghashi

    (Department of Computer Science, College of Engineering and Information Technology, Amran University, Amran, Yemen
    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.)

  • Emine Koc Sogutcu

    (Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas 58140, Turkey
    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.)

  • Faez A. Alqarni

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

Abstract

Let ℧ be a prime ring of char(℧) ≠ 2 with its center Z . This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings. Additionally, we fully describe and classify some of these endomorphisms. We also give examples to prove the necessity of the numerous restrictions included in the hypotheses of our results.

Suggested Citation

  • Hafedh Alnoghashi & Amal S. Alali & Emine Koc Sogutcu & Nadeem ur Rehman & Faez A. Alqarni, 2023. "Some Classification Theorems and Endomorphisms in New Classes," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3910-:d:1239976
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    References listed on IDEAS

    as
    1. 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.
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