Strongly minimal expansions of algebraically closed fields
- Cite this article as:
- Hrushovski, E. Israel J. Math. (1992) 79: 129. doi:10.1007/BF02808211
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(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.