A Pair of Derivations on Prime Rings with Antiautomorphism-Reference-Cited by-同舟云学术

A Pair of Derivations on Prime Rings with Antiautomorphism

Published:2023-07-29 Issue:15 Volume:11 Page:3337
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Alqarni Faez A.¹^ORCID,Alali Amal S.²^ORCID,Alnoghashi Hafedh³^ORCID,Rehman Nadeem ur³^ORCID,Haetinger Claus⁴^ORCID

Affiliation:

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

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, Aligarh Muslim University, Aligarh 202002, India

4. Institute of Mathematics, Statistics and Physics—IMEF, Federal University of Rio Grande—FURG, Rio Grande 96201-900, Brazil

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.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/15/3337/pdf

Reference37 articles.

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3. Rowen, L.H. (2008). Graduate Algebra: Noncommutative View, American Mathematical Society.

4. Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings;Ashraf;Commun. Algebra,2019

5. On generalized derivations and commutativity of prime and semiprime rings;Ali;Hacet. J. Math. Stat.,2011

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