Title
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Biquaternion division algebras over rational function fields
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Author
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Abstract
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Let E be a field of characteristic different from 2 which is the centre of a quaternion division algebra and which is not euclidean. Then there exists a biquaternion division algebra over the rational function field E(t) which does not contain any quaternion algebra defined over E. The proof is based on the study of Bezoutian forms developed in [1]. (C) 2019 Elsevier B.V. All rights reserved. |
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Language
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English
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Source (journal)
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Journal of pure and applied algebra. - Amsterdam
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Publication
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Amsterdam
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2020
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ISSN
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0022-4049
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DOI
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10.1016/J.JPAA.2019.106282
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Volume/pages
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224
:7
(2020)
, 7 p.
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Article Reference
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UNSP 106282
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ISI
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000515205400007
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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