| Título: | Ordered Fields With The Dense Orbits Property |
| Autores: | Gamboa, J. M. ; Recio, Tomás |
| Tipo de documento: | texto impreso |
| Editorial: | Elsevier Science, 1983 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Artículo |
| Resumen: |
For a formally real field K let X(K) be the space of orderings. The automorphism group Aut(K) of K operates on X(K). K is said to have the ’dense orbits property’ (DOP) if for all 2 X(K) the orbit of is dense in X(K). The study of such fields, which was begun in D. W. Dubois and the second author [Contemp. Math. 8, 265-288 (1982; Zbl 0484.12003)], is continued here. The main question considered is the behavior of the DOP under purely transcendental and under algebraic field extensions. |
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