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Title
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A ruled residue theorem for function fields of conics
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Author
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Abstract
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| The ruled residue theorem characterises residue field extensions for valuations on a rational function field. Under the assumption that the characteristic of the residue field is different from 2 this theorem is extended here to function fields of conics. The main result is that there is at most one extension of a valuation on the base field to the function field of a conic for which the residue field extension is transcendental but not ruled. Furthermore the situation when this valuation is present is characterised. (C) 2020 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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2021
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ISSN
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0022-4049
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DOI
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10.1016/J.JPAA.2020.106638
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Volume/pages
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225
:6
(2021)
, 12 p.
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Article Reference
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106638
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ISI
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000606674900022
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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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