Ultraproducts and approximation in local rings. I

DOI10.1007/BF01390228zbMath0416.13004MaRDI QIDQ754266

Joseph Becker, Leonard Lipshitz, L. P. D. van den Dries, Jan Denef

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142629

zbMATH Keywords

polynomial equationsstrong approximation theoremsalgebraic solutionsapproximation in local ringsexcellent Henselian discrete valuation ringstheory of ultraproducts

Mathematics Subject Classification ID

Equations in general fields (12E12) Polynomials over commutative rings (13B25) Valuation rings (13F30) Extension theory of commutative rings (13B02) Ultraproducts and related constructions (03C20) Local rings and semilocal rings (13H99) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12)

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