Approximation results of Artin-Tougeron-type for general filtrations and for Cr-equations

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Artin approximation and other related approximation results are used in various areas. The traditional formulation of such results is restricted to filtrations by powers of ideals, {Ij}, and to Noetherian rings. In this paper we extend several approximation results both to rather general filtrations and to Cr-rings, for 2≤r≤∞. As an auxiliary step we establish the surjectivity of the completion map [Formula presented] for a very broad class of filtrations.

Original languageEnglish
Article number106431
JournalJournal of Pure and Applied Algebra
Issue number12
StatePublished - 1 Dec 2020


  • Analytic/algebraic/power series equations
  • Artin approximation
  • Germs of differentiable functions
  • Implicit function theorem
  • Tougeron approximation

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Approximation results of Artin-Tougeron-type for general filtrations and for Cr-equations'. Together they form a unique fingerprint.

Cite this