Victor Alexandru and Angel Popescu : $v$-maximal extensions, henselian fields and conservative fields, p.55-64

Abstract:

In this paper we continue the investigation of $v$-maximal extensions [2] (or maximal spectral extensions [9]) in connexion with some Henselian fields and conservative fields (introduced here for the first time). We also apply our results to generalize and put in a new light some classical theorems on valued fields.

Key Words: Valued fields, Spectral norms, Galois groups, Henselian fields.

2000 Mathematics Subject Classification: Primary: 12J10, 12J25, 12F09;
Secondary: 13A18, 12F99.

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