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Continuability of Cyclic Extensions of Complete Discrete Valuation Fields

โœ Scribed by V. G. Boitsov; I. B. Zhukov

Publisher
Springer US
Year
2005
Tongue
English
Weight
446 KB
Volume
130
Category
Article
ISSN
1573-8795

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โœ Fred Van Oystaeyen; Luc Willaert ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

Let k ; K be a finitely generated field extension of transcendence degree 1. ลฝ . ลฝ . ## Consider the corresponding extension D D k ; D D K of skew fields of the first 1 1 ลฝ . ลฝ . Weyl algebra. We show that the D D k -valuations of D D K are in one-to-one 1 1 ลฝ . correspondence with the k-valuati