Geodesic
Finite Extensions of Valued Fields
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 64-69

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DOI

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.
DOI : 10.4153/CMB-1986-012-x
Mots-clés : 12J10 
Warner, Seth. Finite Extensions of Valued Fields. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 64-69. doi: 10.4153/CMB-1986-012-x
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     title = {Finite {Extensions} of {Valued} {Fields}},
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     doi = {10.4153/CMB-1986-012-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-012-x/}
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