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We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields with an...

Extension of places and contraction properties for function fields over [...]-adically closed fields.

Serban A. Basarab (1981)

Journal für die reine und angewandte Mathematik

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Errata to the paper "A characterization of locally compact fields of zero characteristic" Fundamenta Mathematicae 76 (1972), pp. 149-155

Estensioni di una struttura paracomplessa su un corpo algebricamente chiuso ad un suo ampliamento trascendente semplice

Euclidean function fields.

Euklidische Körper und euklidische Hüllen von Körpern.

Extending automorphisms to the rational fractions field.

Extension of places and contraction properties for function fields over [...]-adically closed fields.

Currently displaying 1 – 6 of 6