Ultraproducts and approximation in local rings. II

DOI10.1007/BF01457817zbMath0426.13010OpenAlexW3012850984MaRDI QIDQ1135890

Leonard Lipshitz, Jan Denef

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163462

zbMATH Keywords

strong approximation theoremsArtin approximation theoremultraproduct constructioncomplete noetherian local rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Applications of logic to commutative algebra (13L05) Local rings and semilocal rings (13H99) Complete rings, completion (13J10) Local deformation theory, Artin approximation, etc. (14B12) Ultraproducts and field theory (12L10)

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Cites Work

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• Ultraproducts and approximation in local rings. I
• A theorem on solutions of analytic equations with applications to deformations of complex structures
• Einige Bemerkungen zur Struktur lokaler Henselscher Ringe
• Die Approximationseigenschaft lokaler Ringe
• On the solutions of analytic equations
• Algebraic approximation of structures over complete local rings
• Rigid analytic spaces
• Noetherianness of Rings of Holomorphic Functions on Stein Compact Subsets

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