Strongly minimal expansions of algebraically closed fields

Strongly minimal expansions of algebraically closed fields
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代数闭域的强极小展开

DOI：
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发表时间：
1992
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通讯作者：
E. Hrushovski
E. Hrushovski
中科院分区：
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文献类型：
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作者：
E. Hrushovski

文献摘要

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摘要（1）构造了具有给定特征的代数闭域的强极小展开式。实际上，我们展示了一个更一般的结果，例如，暗示存在一个强极小集，具有两个不同的字段结构的不同特征。(2)代数闭域的保持代数闭包关系的强极小展开必须是（代数）常数展开。
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.