SCHLANKE KORPER (SLIM FIELDS)

被引：9

作者：

Junker, Markus ^{[1
]}

Koenigsmann, Jochen ^{[2
]}

机构：

[1] Math Inst, D-79104 Freiburg, Germany

[2] Math Inst, Oxford OX1 3LB, England

来源：

JOURNAL OF SYMBOLIC LOGIC | 2010年 / 75卷 / 02期

关键词：

D O I：

10.2178/jsl/1268917491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine fields in which model theoretic algebraic closure coincides with relative livid theoretic algebraic closure. These are perfect fields with nice model theoretic behaviour. For example. they are exactly the fields in which algebraic independence is an abstract independence relation in the sense of Kim and Pillay. Classes of examples are perfect PAC fields, model complete large fields and hensclian valued fields of characteristic 0.

引用

页码：481 / 500

页数：20

共 19 条

[1]

ADLER H, 2005, THESIS ALBERT LUDWIG

[2] ELEMENTARY THEORY OF FINITE FIELDS [J].