Local superderivation and super-biderivation on generalized quaternion algebra
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915621202034688 |
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| author | Oubba, Hassan |
| author_facet | Oubba, Hassan |
| contents | Let $\mathcal{H}^{a,b}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to investigate super-biderivations and local superderivations on the generalized quaternion algebra, which is viewed as a class of Lie superalgebra. It turns out that on generalized quaternion algebras, any local superderivation is a superderivation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local superderivation and super-biderivation on generalized quaternion algebra Oubba, Hassan Rings and Algebras 16H05, 16W25, 17A70, 17B60, 08A35, 17A32, 17A36 Let $\mathcal{H}^{a,b}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to investigate super-biderivations and local superderivations on the generalized quaternion algebra, which is viewed as a class of Lie superalgebra. It turns out that on generalized quaternion algebras, any local superderivation is a superderivation. |
| title | Local superderivation and super-biderivation on generalized quaternion algebra |
| topic | Rings and Algebras 16H05, 16W25, 17A70, 17B60, 08A35, 17A32, 17A36 |
| url | https://arxiv.org/abs/2511.12555 |