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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8123| Title: | Splitting of differential quaternion algebras |
| Authors: | GUPTA, PARUL KAUR, YASHPREET SINGH, ANUPAM Dept. of Mathematics |
| Keywords: | Derivations Differential quaternion algebras Differential splitting fields Rational function fields 2023-AUG-WEEK1 TOC-AUG-2023 2023 |
| Issue Date: | Jul-2023 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Algebra, 633, 43-55. |
| Abstract: | We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field k is always split by a quadratic extension of k. However, a differential quaternion algebra need not be split over any algebraic extension of k. We use solutions of certain Riccati equations to provide bounds on the transcendence degree of splitting fields of a differential quaternion algebra. |
| URI: | https://doi.org/10.1016/j.jalgebra.2023.06.022 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8123 |
| ISSN: | 0021-8693 1090-266X |
| Appears in Collections: | JOURNAL ARTICLES |
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