Ordered fields with the dense orbits property

DOI10.1016/0022-4049(83)90059-2zbMath0533.12018OpenAlexW2053068943MaRDI QIDQ789446

Jose Manuel Gamboa, Tomás Recio

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90059-2

zbMATH Keywords

formally real fieldordered fieldsautomorphisms acting on spaces of orderingsbehavior under field extensionsdense orbits property

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Transcendental field extensions (12F20) Ordered fields (12J15) Real algebraic and real-analytic geometry (14Pxx)

Related Items (6)

Some new results on ordered fields ⋮ Criteria for wild nearfields ⋮ On couplings on a simple transcendental extension ⋮ On fields having the extension property ⋮ Subfields of a real closed field of countable codimension ⋮ On the construction of valued Dickson near-fields.

Cites Work

• Order extensions and real algebraic geometry
• Ordered fields and sign-changing polynomials.
• Note on Artin’s solution of Hilbert’s 17th problem
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