A Pair of Derivations on Prime Rings with Antiautomorphism

Faez A. Alqarni, Amal S. Alali, Hafedh Alnoghashi, Nadeem ur Rehman () and Claus Haetinger
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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

Mathematics, 2023, vol. 11, issue 15, 1-15

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.

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