Local, 2-local derivations and biderivations on 3-parameter generalized quaternion
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911280797843456 |
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| author | Oubba, Hassan |
| author_facet | Oubba, Hassan |
| contents | This article investigates the recently introduced three-parameter generalized quaternion algebra (3PGQ), denoted here as $\mathbb{K}_{λ_1,λ_2,λ_3}$
. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local, 2-local derivations and biderivations on 3-parameter generalized quaternion Oubba, Hassan Rings and Algebras 11R52, 15A99, 11B39, 11B37 This article investigates the recently introduced three-parameter generalized quaternion algebra (3PGQ), denoted here as $\mathbb{K}_{λ_1,λ_2,λ_3}$ . 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. |
| title | Local, 2-local derivations and biderivations on 3-parameter generalized quaternion |
| topic | Rings and Algebras 11R52, 15A99, 11B39, 11B37 |
| url | https://arxiv.org/abs/2511.18026 |