scientific article; zbMATH DE number 7256892

zbMath1463.06089MaRDI QIDQ4970666

Anatoly G. Kusraev

Publication date: 7 October 2020

Full work available at URL: http://mathnet.ru/eng/vmj541

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

rational functionpolynomial\(f\)-ringcomplete ring of quotientsArtin's theoremreal closureHilbert 17th problemBoolean valued representation

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Polynomials over commutative rings (13B25) Ordered rings, algebras, modules (06F25)

Cites Work

• Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites.
• Lattice ordered rings and function rings
• Groupes et anneaux reticules
• Convexity, valuations and Prüfer extensions in real algebra
• The basic theory of real closed spaces
• A transfer principle in harmonic analysis
• Two Applications of Logic to Mathematics
• An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th problem
• Lattice-Ordered Rings of Quotients
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