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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.09519 |
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| _version_ | 1866910396731883520 |
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| author | Gupta, Parul Kaur, Yashpreet Singh, Anupam |
| author_facet | Gupta, Parul Kaur, Yashpreet Singh, Anupam |
| contents | For $m\geq 2$, we study derivations on symbol algebras of degree $m$ over fields with characteristic not dividing $m$. A differential central simple algebra over a field $k$ is split by a finitely generated extension of $k$. For certain derivations on symbol algebras, we provide explicit construction of differential splitting fields and give bounds on their algebraic and transcendence degrees. We further analyze maximal subfields that split certain differential symbol algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09519 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Splitting fields of differential symbol algebras Gupta, Parul Kaur, Yashpreet Singh, Anupam Rings and Algebras 12H05, 16H05, 16W25 For $m\geq 2$, we study derivations on symbol algebras of degree $m$ over fields with characteristic not dividing $m$. A differential central simple algebra over a field $k$ is split by a finitely generated extension of $k$. For certain derivations on symbol algebras, we provide explicit construction of differential splitting fields and give bounds on their algebraic and transcendence degrees. We further analyze maximal subfields that split certain differential symbol algebras. |
| title | Splitting fields of differential symbol algebras |
| topic | Rings and Algebras 12H05, 16H05, 16W25 |
| url | https://arxiv.org/abs/2201.09519 |