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Finite Extensions of Valued Fields

Published online by Cambridge University Press:  20 November 2018

Seth Warner
Seth Warner*
Affiliation:
Duke University, Durham, NC 27706
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Abstract

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A corollary of the main result is that if L is a finite-dimensional Galois extension of a field K and if w is a valuation of L extending a valuation v of K, then K is closed in L if and only if all valuations of L extending v are dependent. A further consequence is a generalization of Ostrowski's criterion for a real-valued valuation to be henselian.

Keywords

12J10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 1 , 01 March 1986 , pp. 64 - 69
Copyright
Copyright © Canadian Mathematical Society 1986

References

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