The p-adic spectrum

DOI10.1016/0022-4049(86)90047-2zbMath0586.18005OpenAlexW1968841399MaRDI QIDQ1071859

Edmund P. Robinson

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90047-2

zbMATH Keywords

spatialtoposp-adically closed fieldscoherent theoryfinitary geometricHenselian local ringp-adic spectrump-adically closed local rings

Mathematics Subject Classification ID

Topoi (18B25) Algebraic number theory: local fields (11S99) Theories (e.g., algebraic theories), structure, and semantics (18C10) Local rings and semilocal rings (13H99) Grothendieck topologies and Grothendieck topoi (18F10) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items

Anneaux p-adiquement clos et anneaux de fonctions définissables ⋮ Substructures and uniform elimination for p-adic fields ⋮ 2007 European Summer Meeting of the Association for Symbolic Logic: Logic Colloquium '07 ⋮ Dependence on parameters in analogues of hilberts seventeenth problem ⋮ More on definable sets of p-adic numbers ⋮ Infinitesimally stable theories of henselian rings

Cites Work

• Formally \(p\)-adic fields
• Separably real closed local rings
• Rings, fields, and spectra
• Completeness results for intuitionistic and modal logic in a categorical setting
• Anneaux locaux henséliens
• La topologie du spectre réel
• Decision procedures for real and p‐adic fields
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