Lie triple derivation and Lie bi-derivation on quaternion rings

Raza, Mohd Arif and Jabeen, Aisha and Al-Sobhi, Tahani (2024) Lie triple derivation and Lie bi-derivation on quaternion rings. Miskolc Mathematical Notes, 25 (1). pp. 433-443. ISSN 1787-2413

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Abstract

In this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring. An example is provided to demonstrate that our result is theoretically viable.

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