Anneaux de fonctions p-adiques

DOI10.2307/2275843zbMath0868.03017OpenAlexW13102836MaRDI QIDQ4842625

Luc Bélair

Publication date: 19 August 1997

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275843

zbMATH Keywords

valuation ringsprime idealquotient ringsfirst-order propertiesfield of fractions\(p\)-adic valued continuous definable functions\(p\)-adically closed residue fieldaffine \(p\)-adic varietyintegrally closed Henselian local ringsrings of \(p\)-adic functions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Analytical algebras and rings (13J07) Applications of logic to commutative algebra (13L05) Valued fields (12J10)

Related Items (4)

2007 European Summer Meeting of the Association for Symbolic Logic: Logic Colloquium '07 ⋮ Dependence on parameters in analogues of hilberts seventeenth problem ⋮ \(p\)-convexly valued rings ⋮ Defining integer-valued functions in rings of continuous definable functions over a topological field

Cites Work

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• Normal spectral spaces and their dimensions
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Real closed rings. II. Model theory
• Dimension of definable sets, algebraic boundedness and Henselian fields
• Substructures and uniform elimination for p-adic fields
• La topologie du spectre réel

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