Mathematics (Sep 2023)

Some Classification Theorems and Endomorphisms in New Classes

  • Hafedh Alnoghashi,
  • Amal S. Alali,
  • Emine Koc Sogutcu,
  • Nadeem ur Rehman,
  • Faez A. Alqarni

DOI
https://doi.org/10.3390/math11183910
Journal volume & issue
Vol. 11, no. 18
p. 3910

Abstract

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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.

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