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Title: | Splitting fields of differential symbol algebras |
Authors: | GUPTA, PARUL KAUR, YASHPREET SINGH, ANUPAM Dept. of Mathematics |
Keywords: | Derivations Differential symbol algebras Differential splitting fields Rational function fields 2023-JAN-WEEK1 TOC-JAN-2023 2023 |
Issue Date: | May-2023 |
Publisher: | Elsevier B.V. |
Citation: | Journal of Pure and Applied Algebra, 227(5), 107280. |
Abstract: | For m >= 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. |
URI: | https://doi.org/10.1016/j.jpaa.2022.107280 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7556 |
ISSN: | 0022-4049 1873-1376 |
Appears in Collections: | JOURNAL ARTICLES |
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