Extending automorphisms to the rational fractions field.

Fernández Rodríguez, Fernando, and Llerena Achutegui, Agustín. "Extending automorphisms to the rational fractions field.." Extracta Mathematicae 6.1 (1991): 25-27. <http://eudml.org/doc/39911>.

@article{FernándezRodríguez1991,
abstract = {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 unique archimedean ordering. We have introduced an apparently stronger type of extension property, simplifying some techniques and broadening the results.},
author = {Fernández Rodríguez, Fernando, Llerena Achutegui, Agustín},
journal = {Extracta Mathematicae},
keywords = {Teoría de campos; Campos ordenados; Automorfismos; Extensión; extension property; automorphism; henselian field},
language = {eng},
number = {1},
pages = {25-27},
title = {Extending automorphisms to the rational fractions field.},
url = {http://eudml.org/doc/39911},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Fernández Rodríguez, Fernando
AU - Llerena Achutegui, Agustín
TI - Extending automorphisms to the rational fractions field.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 1
SP - 25
EP - 27
AB - 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 unique archimedean ordering. We have introduced an apparently stronger type of extension property, simplifying some techniques and broadening the results.
LA - eng
KW - Teoría de campos; Campos ordenados; Automorfismos; Extensión; extension property; automorphism; henselian field
UR - http://eudml.org/doc/39911
ER -