A Note on Skew Derivations and Antiautomorphisms of Prime Rings

Faez A. Alqarni, Nadeem U. R. Rehman, Hafedh Alnoghashi, Junaid Nisar and Omar Al-Mallah

Journal of Mathematics, 2025, vol. 2025, 1-17

Abstract: In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity-preserving maps to analyze these rings. Furthermore, examples demonstrate that the conditions imposed on the hypotheses are essential.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5589151

DOI: 10.1155/jom/5589151

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