Geodesic
Extremal Valued Fields
Algebra i logika, Tome 43 (2004) no. 5, pp. 582-588

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that every finite-dimensional skew field whose center is an extremal valued field is defect free. We construct an example of an algebraically complete valued field such that a finite-dimensional skew field over it has a non-trivial defect, that is, there exist algebraically complete valued fields that are not extremal.
Keywords: extremal valued field, algebraically complete valued field. 
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     author = {Yu. L. Ershov},
     title = {Extremal {Valued} {Fields}},
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     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_5_a3/}
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Yu. L. Ershov. Extremal Valued Fields. Algebra i logika, Tome 43 (2004) no. 5, pp. 582-588. http://geodesic.mathdoc.fr/item/AL_2004_43_5_a3/