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Licensed Unlicensed Requires Authentication Published by De Gruyter March 6, 2012

Klein approximation and Hilbertian fields

  • Arno Fehm EMAIL logo and Elad Paran

Abstract

The quotient field of a generalized Krull domain of dimension exceeding one is Hilbertian by a theorem of Weissauer. Building on work of R. Klein we generalize this criterion for Hilbertianity to a wider class of domains. This allows us to extend recent results on Hilbertianity of fields of power series and obtain new Hilbertian fields.

Received: 2011-01-10
Revised: 2011-04-29
Published Online: 2012-03-06
Published in Print: 2013-03

©[2013] by Walter de Gruyter Berlin Boston

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