Geodesic
On Algebraically Maximal Valued Fields and Defectless Extensions
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 233-241

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DOI

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.
DOI : 10.4153/CMB-2011-148-0
Mots-clés : 12J10, 12J25, valued fields, non-Archimedean valued fields 
Bishnoi, Anuj; Khanduja, Sudesh K. On Algebraically Maximal Valued Fields and Defectless Extensions. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 233-241. doi: 10.4153/CMB-2011-148-0
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     author = {Bishnoi, Anuj and Khanduja, Sudesh K.},
     title = {On {Algebraically} {Maximal} {Valued} {Fields} and {Defectless} {Extensions}},
     journal = {Canadian mathematical bulletin},
     pages = {233--241},
     year = {2012},
     volume = {55},
     number = {2},
     doi = {10.4153/CMB-2011-148-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-148-0/}
}
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