STRONGLY MINIMAL EXPANSIONS OF ALGEBRAICALLY CLOSED FIELDS

被引：63
作者：
HRUSHOVSKI, E
机构：
[1] Institute of Mathematics, The Hebrew University Givat Ram, Jerusalem
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1992年 / 79卷 / 2-3期
关键词：
D O I：
10.1007/BF02808211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
(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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页码：129 / 151
页数：23
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