Submersion et descente. (Submersion and descent)

DOI10.1016/0021-8693(86)90152-3zbMath0626.14014OpenAlexW2069237699MaRDI QIDQ580447

Gabriel Picavet

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90152-3

zbMATH Keywords

descentsubmersions of affine schemessubtrusive morphism

Mathematics Subject Classification ID

Rational and birational maps (14E05) Injective and flat modules and ideals in commutative rings (13C11) Schemes and morphisms (14A15) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (14)

Absolutely integral homomorphisms ⋮ Unnamed Item ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ Anneauxt-clos ⋮ Ascending the divided and going-down properties by absolute flatness ⋮ Recent progress on submersions: a survey and new properties ⋮ Flat polynomial endomorphisms ⋮ Quasi-Prüfer Extensions of Rings ⋮ Anodality ⋮ Submersions and effective descent of étale morphisms ⋮ Universally Going-Down Rings, 1-Split Rings, and Absolute Integral Closure ⋮ The \(\operatorname{arc}\)-topology ⋮ On chain morphisms of commutative rings ⋮ Lifting chains of prime ideals

Cites Work

• Incomparability in ring extensions
• Totally integrally closed rings and extremal spaces
• Anneaux locaux henséliens
• Quelques observations sur les épimorphismes plats (à gauche) d'anneaux
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Descent for flatness
• Invariant Factors and Two Criteria for Projectivity of Modules
• Ultrafiltres sur un espace spectral - Anneaux de Baer - Anneaux a spectre minimal compact.
• Disconnexités des spectres d'anneaux et des préschémas
• Prime Ideal Structure in Commutative Rings
• The Finiteness of I When R[ X /I is Flat]
• Prime ideals and integral dependence
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