有限维Galois扩张中正规闭包的一个性质  

A Property of Normal Closures in Finite-dimensional Galois Extensions

作　　者：滕常春[1] TENG Chang-chun(School of Mathematics and Information Science,Weifang University,Weifang 261061,China)

机构地区：[1]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《潍坊学院学报》2022年第2期7-8,28,共3页Journal of Weifang University

摘　　要：Galois扩张即正规可分扩张,是Galois理论中的基石.本文主要利用Galois理论讨论了有限维Galois扩张中的中间域,给出了有限维Galois扩张中中间域的正规闭包的一个性质。Galois expansion is the normal separable expansion,which is the cornerstone of Galois theory.In this paper,Galois theory is mainly used to discuss the intermediate field in finite-dimensional Galois expansion,and a property of normal closure of intermediate field in finite-dimensional Galois expansion is give n.

关 键 词：正规闭包 GALOIS扩张 GALOIS群 

分 类 号：O153.4[理学—数学]