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Strongly minimal expansions of algebraically closed fields

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Abstract

(1) We construct a strongly minimal expansion of an algebraically closed field of a given characteristic. Actually we show a much more general result, implying for example the existence of a strongly minimal set with two different field structures of distinct characteristics.

(2) A strongly minimal expansion of an algebraically closed field that preserves the algebraic closure relation must be an expansion by (algebraic) constants.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University Givat Ram, 91904, Jerusalem

    Ehud Hrushovski

Authors
  1. Ehud Hrushovski
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Additional information

Supported by NSF grants DMS 8903378.

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Hrushovski, E. Strongly minimal expansions of algebraically closed fields. Israel J. Math. 79, 129–151 (1992). https://doi.org/10.1007/BF02808211

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  • DOI: https://doi.org/10.1007/BF02808211

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