On Prime Ideals in Rings of Semialgebraic Functions

DOI10.2307/2160055zbMath0795.14030OpenAlexW4205477875MaRDI QIDQ3134672

Jose Manuel Gamboa

Publication date: 13 September 1993

Full work available at URL: https://doi.org/10.2307/2160055

zbMATH Keywords

Krull dimensionprime ideal in the ring of semialgebraic functions

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Semialgebraic sets and related spaces (14P10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (2)

On the Krull dimension of rings of continuous semialgebraic functions ⋮ On the size of the fibers of spectral maps induced by semialgebraic embeddings

Cites Work

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• Normal spectral spaces and their dimensions
• On rings of semialgebraic functions
• The basic theory of real closed spaces
• Le théorème des zéros en géométries algébrique et analytique réelles
• On the Continuity of the Real Roots of an Algebraic Equation
• More on the continuity of the real roots of an algebraic equation

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