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On Algebraically Maximal Valued Fields and Defectless Extensions

  Published:2011-07-15
 Printed: Jun 2012
  • Anuj Bishnoi,
    Department of Mathematics, Panjab University, Chandigarh 160014, India
  • Sudesh K. Khanduja,
    Department of Mathematics, Panjab University, Chandigarh 160014, India
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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.
Keywords: valued fields, non-Archimedean valued fields valued fields, non-Archimedean valued fields
MSC Classifications: 12J10, 12J25 show english descriptions Valued fields
Non-Archimedean valued fields [See also 30G06, 32P05, 46S10, 47S10]
12J10 - Valued fields
12J25 - Non-Archimedean valued fields [See also 30G06, 32P05, 46S10, 47S10]
 

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