Going up along absolutely flat morphisms

DOI10.1016/0022-4049(83)90038-5zbMath0557.13003OpenAlexW1989481214MaRDI QIDQ762220

Jean-Pierre Olivier

Publication date: 1983

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(83)90038-5

zbMATH Keywords

integral closureabsolutely flat morphismschange of basestrict henselian closures

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items

Differential forms in positive characteristic. II: cdh-descent via functorial Riemann-Zariski spaces ⋮ Ascending the divided and going-down properties by absolute flatness ⋮ An application of the almost purity theorem to the homological conjectures ⋮ Constructible sheaves on schemes ⋮ Around Prüfer Extensions of Rings ⋮ Quasi-Prüfer Extensions of Rings ⋮ Commutative algebras of finite Hochschild homological dimension ⋮ Anodality ⋮ Rationally isomorphic Hermitian forms and torsors of some non-reductive groups

Cites Work

• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Anneaux locaux henséliens
• On quasi-étale homomorphisms and the excellent rings
• Ascent of properties for absolutely flat homomorphisms
• Anneaux henséliens
• Arithmetical rings
• Monomorphismes et morphismes absolument plats
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