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On Algebraically Maximal Valued Fields and Defectless Extensions
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $v$ be a Henselian Krull valuation of a field $K$. In this paper, the authors give some necessary and sufficient conditions for a finite simple extension of $(K,\,v)$ to be defectless. Various characterizations of algebraically maximal valued fields are also given which lead to a new proof of a result proved by Yu. L. Ershov.
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- Research Article
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- Copyright © Canadian Mathematical Society 2012
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