Some Classification Theorems and Endomorphisms in New Classes

Hafedh Alnoghashi, Amal S. Alali, Emine Koc Sogutcu, Nadeem ur Rehman () and Faez A. Alqarni
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Hafedh Alnoghashi: Department of Computer Science, College of Engineering and Information Technology, Amran University, Amran, Yemen
Amal S. Alali: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Emine Koc Sogutcu: Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas 58140, Turkey
Nadeem ur Rehman: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Faez A. Alqarni: Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi Arabia

Mathematics, 2023, vol. 11, issue 18, 1-16

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.

Keywords: prime ring; endomorphism; automorphism; antiautomorphism; strong commutativity preserving (SCP); commutator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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