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.
@article{urn:eudml:doc:39911,
title = {Extending automorphisms to the rational fractions field.},
journal = {Extracta Mathematicae},
volume = {6},
year = {1991},
pages = {25-27},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39911}
}
Fernández Rodríguez, Fernando; Llerena Achutegui, Agustín. Extending automorphisms to the rational fractions field.. Extracta Mathematicae, Tome 6 (1991) pp. 25-27. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39911/