Ordered Fields With The Dense Orbits Property



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Gamboa, J. M. 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


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:02 Mar 2016 14:42

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