Some Classification Theorems and Endomorphisms in New Classes

Author:

Alnoghashi Hafedh1ORCID,Alali Amal S.2ORCID,Sogutcu Emine Koc3ORCID,Rehman Nadeem ur4ORCID,Alqarni Faez A.5ORCID

Affiliation:

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

2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

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

4. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

5. Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi Arabia

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.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference29 articles.

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2. Derivations in prime rings;Posner;Proc. Am. Math. Soc.,1957

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4. On derivations and commutativity in prime rings;Bell;Acta Math. Hung.,1995

5. Centralizing mappings of semiprime rings;Bell;Can. Math. Bull.,1987

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