Mathematics
(Jul 2023)
A Pair of Derivations on Prime Rings with Antiautomorphism
Faez A. Alqarni,
Amal S. Alali,
Hafedh Alnoghashi,
Nadeem ur Rehman,
Claus Haetinger
Affiliations
Faez A. Alqarni
Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi Arabia
Amal S. Alali
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Hafedh Alnoghashi
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Nadeem ur Rehman
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Claus Haetinger
Institute of Mathematics, Statistics and Physics—IMEF, Federal University of Rio Grande—FURG, Rio Grande 96201-900, Brazil
DOI
https://doi.org/10.3390/math11153337
Journal volume & issue
Vol. 11,
no. 15
Abstract
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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.
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