A Characterization of Preordered Fields with the Weak Hilbert Property

DOI10.2307/2046976zbMath0727.12002OpenAlexW4240864124MaRDI QIDQ3348999

Guangxin Zeng

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046976

zbMATH Keywords

Hilbert's 17th problempreordered fieldspositive semidefinite polynomialsum of squares of rational functionssums of squares over fields

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15)

Related Items (4)

Semialgebraic stellensâtze for matrices ⋮ Sums of powers in function fields ⋮ On preordered fields related Hilbert's 17th problem ⋮ A problem about the weak Hilbert property

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