Excellent rings, Henselian rings and the approximation property

DOI10.1216/rmjm/1181071964zbMath0881.13009OpenAlexW1980683761MaRDI QIDQ1364287

Christel Rotthaus

Publication date: 27 October 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-1/CONT27-1/CONT27-1.html

zbMATH Keywords

approximationexcellent ringsHenselian rings

Mathematics Subject Classification ID

Excellent rings (13F40) Complete rings, completion (13J10) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (11)

Every finite poset is isomorphic to a saturated subset of the spectrum of a Noetherian UFD ⋮ Characterization of irreducible polynomials over a special principal ideal ring ⋮ Completions of countable excellent domains and countable noncatenary domains ⋮ Characterization of completions of noncatenary local domains and noncatenary local UFDs ⋮ A variation on a theme of Vasconcelos ⋮ Controlling the generic formal fiber of local domains and their polynomial rings ⋮ Completely controlling the dimensions of formal fiber rings at prime ideals of small height ⋮ Uncountable 𝑛-dimensional excellent regular local rings with countable spectra ⋮ Completions of uncountable local rings with countable spectra ⋮ Chains of Rings with Local Formal Fibers ⋮ Etaleness and normality

Cites Work

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• General Néron desingularization and approximation
• A few theorems on completion of excellent rings
• Komplettierung semilokaler quasiausgezeichneter Ringe
• General Néron desingularization
• Projective modules over polynomial rings

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