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1. CMB 2011 (vol 55 pp. 233)
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On Algebraically Maximal Valued Fields and Defectless Extensions 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.
Keywords:valued fields, non-Archimedean valued fields Categories:12J10, 12J25 |