Título inglés |
Extending automorphisms to the rational fractions field. |
Título español |
Extensión de automorfismos al campo de fracciones racionales. |
Autor/es |
Fernández Rodríguez, Fernando ; Llerena Achutegui, Agustín |
Organización |
Dep. Econ. Apl. Univ. Las Palmas, Las Palmas de Gran Canaria, España |
Revista |
0213-8743 |
Publicación |
1991, 6 (1): 25-27, 5 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
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. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Teoría de campos ; Campos ordenados ; Automorfismos ; Extensión |
Acceso al artículo completo |