Biblioteca de la Universidad Complutense de Madrid

Ordered Fields With The Dense Orbits Property


Gamboa, J. M. y Recio, Tomás (1983) Ordered Fields With The Dense Orbits Property. Journal Of Pure And Applied Algebra, 30 (3). pp. 237-246. ISSN 0022-4049

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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.

Tipo de documento:Artículo
Palabras clave:ordered fields; dense orbits property; automorphisms acting on spaces of orderings; behavior under field extensions; formally real field
Materias:Ciencias > Matemáticas > Álgebra
Código ID:15507
Depositado:07 Jun 2012 08:33
Última Modificación:02 Mar 2016 14:42

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