On algebraically maximal valued fields and defectless extensions

Bishnoi, Anuj ; Khanduja, Sudesh K. (2011) On algebraically maximal valued fields and defectless extensions Canadian Mathematical Bulletin . ISSN 0008-4395

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Official URL: http://math.usask.ca/fvk/sud2011e.pdf

Related URL: http://dx.doi.org/10.4153/CMB-2011-148-0

Abstract

Let v be a henselian Krull valuation of a field K. In this paper, the authors give some necessary and su±cient 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.

Item Type:Article
Source:Copyright of this article belongs to Canadian Mathematical Society.
Keywords:Valued Fields; Non-Archimedean Valued Fields
ID Code:69903
Deposited On:19 Nov 2011 11:18
Last Modified:19 Nov 2011 11:18

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