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On Algebraically Maximal Valued Fields and Defectless Extensions

Published online by Cambridge University Press:  20 November 2018

Anuj Bishnoi  and
Sudesh K. Khanduja
Anuj Bishnoi
Affiliation:
Department of Mathematics, Panjab University, Chandigarh 160014, Indiae-mail: anuj.bshn@gmail.com; skhand@pu.ac.in
Sudesh K. Khanduja
Affiliation:
Department of Mathematics, Panjab University, Chandigarh 160014, Indiae-mail: anuj.bshn@gmail.com; skhand@pu.ac.in
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Abstract

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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

12J1012J25valued fieldsnon-Archimedean valued fields
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 233 - 241
Copyright
Copyright © Canadian Mathematical Society 2012

References

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