Approximation properties for some non-Noetherian local rings

DOI10.2140/PJM.1988.131.331zbMath0608.13008OpenAlexW2028677869MaRDI QIDQ1086297

Hans Schoutens

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.331

zbMATH Keywords

local ringsalgebraic power seriesdiscrete valuation ringsArtin approximationhenselisation of polynomial ring

Mathematics Subject Classification ID

Valuation rings (13F30) Formal power series rings (13F25) Local rings and semilocal rings (13H99) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (6)

Counter-examples to non-noetherian Elkik's approximation theorem ⋮ Artin approximation over Banach spaces ⋮ An extension of Greenberg's theorem to general valuation rings ⋮ Approximation results of Artin-Tougeron-type for general filtrations and for \(C^r\)-equations ⋮ Unnamed Item ⋮ Irreducibility in approximation couples

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