Splitting of differential quaternion algebras

dc.contributor.author	GUPTA, PARUL	en_US
dc.contributor.author	KAUR, YASHPREET	en_US
dc.contributor.author	SINGH, ANUPAM	en_US
dc.date.accessioned	2023-08-11T07:21:49Z
dc.date.available	2023-08-11T07:21:49Z
dc.date.issued	2023-11	en_US
dc.identifier.citation	Journal of Algebra, 633, 43-55.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2023.06.022	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8123
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Derivations	en_US
dc.subject	Differential quaternion algebras	en_US
dc.subject	Differential splitting fields	en_US
dc.subject	Rational function fields	en_US
dc.subject	2023-AUG-WEEK1	en_US
dc.subject	TOC-AUG-2023	en_US
dc.subject	2023	en_US
dc.title	Splitting of differential quaternion algebras	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US