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arXiv · 2511.18026

Local, 2-local derivations and biderivations on 3-parameter generalized quaternion

Hassan Oubba
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Abstract

This article investigates the recently introduced three-parameter generalized quaternion algebra (3PGQ), denoted here as $\mathbb{K}_{\lambda_1,\lambda_2,\lambda_3}$ . Our analysis is structured in three parts. First, we demonstrate that every local and 2-local derivation on this algebra is automatically a derivation. Second, we provide a complete characterization of its biderivations. Finally, we describe its commuting maps and centroid.

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Hassan Oubba. 2025-11-22. Local, 2-local derivations and biderivations on 3-parameter generalized quaternion. https://arxiv.org/abs/2511.18026

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