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Ordered Fields With The Dense Orbits Property

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

Official URL: http://www.sciencedirect.com/science/journal/00224049

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:ordered fields; dense orbits property; automorphisms acting on spaces of orderings; behavior under field extensions; formally real field
Subjects:Sciences > Mathematics > Algebra
ID Code:15507
Deposited On:07 Jun 2012 08:33
Last Modified:07 Jun 2012 08:33

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