On Galois extensions of division rings of Laurent series

被引：0

作者：

Legrand, Francois ^{[1
]}

机构：

[1] Normandie Univ, UNICAEN, CNRS, Lab Math Nicolas Oresme, F-14000 Caen, France

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 02期

关键词：

EMBEDDING PROBLEMS;

D O I：

10.1016/j.jpaa.2023.107466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Galois extensions of the division ring of Laurent series H((T, & sigma;)), where H and & sigma; are an arbitrary division ring and an arbitrary automorphism of H, respectively. We then obtain, e.g., new examples of skew fields fulfilling the inverse Galois problem and new examples of skew fields with several non isomorphic "separable closures". & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：18

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