Real Closed Valuation Rings

DOI10.1080/00927870802562344zbMath1184.13072OpenAlexW2013940618MaRDI QIDQ3653321

Niels Schwartz

Publication date: 22 December 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802562344

zbMATH Keywords

valuation ringsdifferentiabilityreal spectrumreal closed ringspartially ordered reduced rings transcendence degreesemi algebraic functions

Mathematics Subject Classification ID

Real algebraic and real-analytic geometry (14P99) Real algebra (13J30)

Related Items (3)

Pseudo-valuation rings and \(C(X)\) ⋮ SV-rings and SV-porings ⋮ Strongly Irreducible Ideals and Truncated Valuations

Cites Work

• Unnamed Item
• Real closed rings. II. Model theory
• Real closed spaces
• Witt rings and K-theory
• Locally semialgebraic spaces
• Semialgebraic topology over a real closed field. II: Basic theory of semialgebraic spaces
• Epimorphic extensions and Prüfer extensions of partially ordered rings
• Semi-algebraic function rings and reflectors of partially ordered rings
• A relative notion of local completeness in semialgebraic geometry
• La topologie du spectre réel

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