Irreducibility and embedding problems

被引：0

作者：

Bary-Soroker, Lior ^{[1
]}

机构：

[1] Univ Duisburg Essen, Inst Expt Math, D-45326 Essen, Germany

来源：

JOURNAL OF ALGEBRA | 2012年 / 357卷

关键词：

Irreducible specializations; Pseudo algebraically closed extensions; Embedding problems; FIELDS; POLYNOMIALS; EXTENSIONS; RINGS;

D O I：

10.1016/j.jalgebra.2012.01.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analogs of Schinzel's hypothesis H and to the theory of Hilbertian fields. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：26 / 33

页数：8

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