Formal Fibers and Complete Homomorphic Images

DOI10.2307/2159870zbMath0794.13005OpenAlexW4250106403MaRDI QIDQ4286391

Christel Rotthaus, William J. Heinzer

Publication date: 31 August 1994

Full work available at URL: https://doi.org/10.2307/2159870

zbMATH Keywords

completioncomplete homomorphic imagesdimension of the generic formal fiberexcellent Henselian local rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Extension theory of commutative rings (13B02) Formal power series rings (13F25) Completion of commutative rings (13B35) Local rings and semilocal rings (13H99) Complete rings, completion (13J10) Henselian rings (13J15)

Related Items (6)

Generic formal fibers of polynomial ring extensions ⋮ Homomorphic images of regular local rings ⋮ Local rings with zero-dimensional formal fibers ⋮ Excellent rings with local generic formal fibers ⋮ Etaleness and normality ⋮ Correction to the paper “Duality and flat base change on formal schemes”

Cites Work

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• Rings with approximation property
• On rings with low dimensional formal fibres
• Note on Krull domains
• On the approximation property of excellent rings
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Differentialrechnung in der analytischen Geometrie
• Algebraic approximation of structures over complete local rings
• General Néron desingularization and approximation
• Formal fibers and birational extensions
• General Néron desingularization
• Lengths of Prime Ideal Chains

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