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Ultraproducts and approximation in local rings I

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Supported in part by the N.S.F.

Supported by the Belgian Nationaal Fonds voor Wetenschappelijk Onderzoek

The proofs in Sects. 2, 3 and 6 of this paper were found by L. van den Dries and the other three authors independently. Van den Dries would like to thank W. Baur for a helpful communication in connection with the proof of Theorem 2.1 below

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Becker, J., Denef, J., Lipshitz, L. et al. Ultraproducts and approximation in local rings I. Invent Math 51, 189–203 (1979). https://doi.org/10.1007/BF01390228

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