Several results regarding the orthogonality of a pair of q-reverse derivations on a semiprime ring have been provided. The results on an orthogonal q-reverse derivation for an appropriate subset (entire ring, nonzero ideals, or nonzero right ideals) of a 2-torsion-free semiprime ring are obtained. Our results are related to the product of two q‑reverse derivations.

semiprime ring, derivation, reverse derivation, q-reverse derivation, orthogonal q-reverse derivation

Received: September 24, 2024; Revised: November 10, 2024; Accepted: December 23, 2024; Published: March 7, 2025

How to cite this article: Mahmoud M. El-Soufi, Semiprime rings and orthogonality of two q‑reverse derivations on ring, ideal, or one side ideal, JP Journal of Algebra, Number Theory and Applications 64(2) (2025), 163-180. https://doi.org/10.17654/0972555525010

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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