Nondefinability of Rings of Integers in Most Algebraic Fields

被引：2

作者：

Dittmann, Philip ^{[1
]}

Fehm, Arno ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Algebra, Fak Math, Dresden, Germany

来源：

NOTRE DAME JOURNAL OF FORMAL LOGIC | 2021年 / 62卷 / 03期

基金：

美国国家科学基金会;

关键词：

definability; pseudo-algebraically closed fields; SUBFIELDS;

D O I：

10.1215/00294527-2021-0029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the set of algebraic extensions F of Q in which Z or the ring of integers O-F are definable is meager in the set of all algebraic extensions.

引用

页码：589 / 592

页数：4

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