Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7556
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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