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References
ARTIN, M.: On the solutions of analytic equations, Inventiones Math. 5, 277–291 (1968).
AX, J.: On the undecidability of power series fields, Proc. Amer. Math. Soc. 16, p.846 (1965).
AX, J. & KOCHEN, S.: Diophantine problems over local fields III, Ann. Math. (2), 83, 437–456 (1966).
BECKER, J.: A counterexample to Artin approximation with respect to subrings, Math. Ann. 230, 195–196 (1977).
BECKER, J., DENEF, J., LIPSHITZ, L. & van den DRIES, L.: Ultraproducts and Approximation in local rings I, Inventiones Math. 51, 189–203 (1979).
BECKER, J. & LIPSHITZ, L.: Remarks on the elementary theories of formal and convergent power series, Fund. Math. (to appear).
DELON, F.: Résultats d’indécidabilité dans les Anneaux de Séries Formelles, Fund. Math. (to appear).
DENEF. J. & LIPSHITZ, L.: Ultraproducts and approximation in local rings II, Math. Ann. (to appear).
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Becker, J., Denef, J., Lipshitz, L. (1980). Further remarks on the elementary theory of formal power series rings. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090156
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DOI: https://doi.org/10.1007/BFb0090156
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