Definability of the ring of integers in pro-p Galois extensions of number fields

被引：13

作者：

Videla, CR ^{[1
]}

机构：

[1] IPN, CINVESTAV, Dept Matemat, Mexico City 07300, DF, Mexico

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2000年 / 118卷 / 1期

关键词：

Prime Ideal; Number Field; Galois Extension; Algebraic Integer; Finite Extension;

D O I：

10.1007/BF02803513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For some infinite algebraic extensions M of the field of rational numbers we show that the integral closure of Z is first-order definable. As an application we prove that the Pythagorean hull of Q is an undecidable field.

引用

页码：1 / 14

页数：14

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