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Generalized quaternion algebras

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Abstract

The purpose of this paper is to prove any local and 2-local derivation of \(\mathcal {H}_{\alpha , \beta }\) is a derivation, and to determine all biderivations, commuting linear maps and centroid of generalized quaternion algebra \(\mathcal {H}_{\alpha , \beta }\) \((\beta \ne 0)\) over the reals.

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Acknowledgements

The authors thank the referees for their valuable comments that contributed to a sensible improvement of the paper.

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  1. Faculty of Sciences Meknes, Moulay Ismail University of Meknes, B.P. 11201, Zitoune Meknes, Morocco

    Hassan Oubba

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  1. Hassan Oubba
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Correspondence to Hassan Oubba.

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Oubba, H. Generalized quaternion algebras. Rend. Circ. Mat. Palermo, II. Ser 72, 4239–4250 (2023). https://doi.org/10.1007/s12215-023-00891-7

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