Splitting of differential quaternion algebras

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dc.contributor.authorGUPTA, PARULen_US
dc.contributor.authorKAUR, YASHPREETen_US
dc.contributor.authorSINGH, ANUPAM KUMARen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2023-08-11T07:21:49Z
dc.date.available2023-08-11T07:21:49Z
dc.date.issued2023-11en_US
dc.description.abstractWe 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.identifier.citationJournal of Algebra, 633, 43-55.en_US
dc.identifier.issn0021-8693en_US
dc.identifier.issn1090-266Xen_US
dc.identifier.sourcetitleJournal of Algebraen_US
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2023.06.022
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8123
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectDerivationsen_US
dc.subjectDifferential quaternion algebrasen_US
dc.subjectDifferential splitting fieldsen_US
dc.subjectRational function fieldsen_US
dc.subject2023-AUG-WEEK1en_US
dc.subjectTOC-AUG-2023en_US
dc.subject2023en_US
dc.titleSplitting of differential quaternion algebrasen_US
dc.typeArticleen_US

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