Rings with approximation property

DOI10.1007/BF01446905zbMath0702.13007MaRDI QIDQ914755

Christel Rotthaus

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164697

zbMATH Keywords

formal power series ringexcellent ringhenselian ringArtin approximation propertyNéron desingularizationsingularity of the localization

Mathematics Subject Classification ID

Étale and flat extensions; Henselization; Artin approximation (13B40) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (11)

Homomorphisms of local algebras in positive characteristic ⋮ Excellent rings, Henselian rings and the approximation property ⋮ Descent and ascent of perinormality in some ring extension settings ⋮ Descent via Koszul extensions ⋮ On the linearity of Artin functions ⋮ Reducedness, formal smoothness and approximation in characteristic p ⋮ The \(p\)-radical closure of local Noetherian rings ⋮ Approximation results of Artin-Tougeron-type for general filtrations and for \(C^r\)-equations ⋮ Unnamed Item ⋮ Formal Fibers and Complete Homomorphic Images ⋮ About the Płoski-Popescu smoothing theorem

Cites Work

• Potenzreihenerweiterung und formale Fasern in lokalen Ringen mit Approximationseigenschaft
• Die Approximationseigenschaft lokaler Ringe
• On the approximation property of excellent rings
• Algebraic approximation of structures over complete local rings
• Algebraic structure of power series rings
• General Néron desingularization
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