伽罗瓦理论基本定理




伽罗瓦理论基本定理是抽象代数中的定理,通过群的概念来描述特定域扩张的细致结构。定理说明了,如果某个域扩张L/K是有限伽罗瓦扩张,则此扩张的伽罗瓦群的子群与其中间域(即子扩张K⊂F⊂L中的F)之间有一一对应关系。
单词 | Fundamental theorem of Galois theory |
释义 |
Fundamental theorem of Galois theory
中文百科
伽罗瓦理论基本定理![]() ![]() ![]() ![]() 伽罗瓦理论基本定理是抽象代数中的定理,通过群的概念来描述特定域扩张的细致结构。定理说明了,如果某个域扩张L/K是有限伽罗瓦扩张,则此扩张的伽罗瓦群的子群与其中间域(即子扩张K⊂F⊂L中的F)之间有一一对应关系。
英语百科
Fundamental theorem of Galois theory 伽罗瓦理论基本定理![]() ![]() ![]() ![]() In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions. In its most basic form, the theorem asserts that given a field extension E/F that is finite and Galois, there is a one-to-one correspondence between its intermediate fields and subgroups of its Galois group. (Intermediate fields are fields K satisfying F ⊆ K ⊆ E; they are also called subextensions of E/F.) |
随便看 |
|
英汉网英语在线翻译词典收录了3779314条英语词汇在线翻译词条,基本涵盖了全部常用英语词汇的中英文双语翻译及用法,是英语学习的有利工具。