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Multiplicative Independence in Function Fields

โœ Scribed by H. Kisilevsky

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
122 KB
Volume
44
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Let (F) be a perfect field of characteristic (p). Let (k) be a function field in one variable over (F). Let (v) be a discrete rank one valuation for (k) which is trivial on (F), and let (\hat{k}) be the associated completion. Using only the separability of the extension (\hat{k} / k), we prove a strong form of Leopoldt's Conjecture for (k). 1993 Academic Press, Inc.

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