Splitting fields of differential symbol algebras
| dc.contributor.author | GUPTA, PARUL | en_US |
| dc.contributor.author | KAUR, YASHPREET | en_US |
| dc.contributor.author | SINGH, ANUPAM KUMAR | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.date.accessioned | 2023-01-13T04:27:14Z | |
| dc.date.available | 2023-01-13T04:27:14Z | |
| dc.date.issued | 2023-05 | en_US |
| dc.description.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. | en_US |
| dc.identifier.citation | Journal of Pure and Applied Algebra, 227(5), 107280. | en_US |
| dc.identifier.issn | 0022-4049 | en_US |
| dc.identifier.issn | 1873-1376 | en_US |
| dc.identifier.sourcetitle | Journal of Pure and Applied Algebra | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jpaa.2022.107280 | |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7556 | |
| dc.language.iso | en | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.subject | Derivations | en_US |
| dc.subject | Differential symbol algebras | en_US |
| dc.subject | Differential splitting fields | en_US |
| dc.subject | Rational function fields | en_US |
| dc.subject | 2023-JAN-WEEK1 | en_US |
| dc.subject | TOC-JAN-2023 | en_US |
| dc.subject | 2023 | en_US |
| dc.title | Splitting fields of differential symbol algebras | en_US |
| dc.type | Article | en_US |