Please use this identifier to cite or link to this item: 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: Nov-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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