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A counterexample to Artin approximation with respect to subrings. (English) Zbl 0359.13007


MSC:

13J05 Power series rings
14B99 Local theory in algebraic geometry
32B05 Analytic algebras and generalizations, preparation theorems
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References:

[1] Artin, M.: On solutions of analytic equations. Ivent. Math.5, 277-291 (1968) · Zbl 0172.05301
[2] Gabrielov, A.M.: The formal relations between analytic functions. Funkc. Analiz. Appl.5, 64-65 (1971)
[3] Grauert, H., Remmert, R.: Analytische Stellenalgebren. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0231.32001
[4] Mostowski, T.: A note on a decision procedure for rings of formal power series and its applications. Bull. Acad. Polon. Sci. Ser. Mat.23, 1229-1232 (1975) · Zbl 0357.13012
[5] Mostowski, T., Pfister, G.: An approximation theorem over arbitrary fields of characteristic zero. Preprint
[6] Pfister, G., Roczen, M.: Ein Vorbereitungssatz für Ideale in algebraischen Potenzreihenringen. Bull. Acad. Polon. Sci. Ser. Mat.24, 315-318 (1976) · Zbl 0329.14001
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