English Dictionary

Galois theory

IPA（発音記号）

/ˈɡælwɑ ˈθi.əɹi/

名詞

不可算名詞 通常

(algebra, field theory) The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.

日本語の意味

ガロア理論は、ガロア群、ガロア体、多項式方程式を取り扱う数学の一分野として、代数学や体論の文脈で発展した理論です。

After taking several advanced courses, Maya decided to pursue research in Galois theory to understand the solvability of polynomial equations.

いくつかの上級科目を履修した後、マヤはガロア群やガロア体、多項式方程式を扱う数学の分野の研究を志し、それらの可解性を理解しようと決めた。

意味（1）

(algebra, field theory) The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.

In this chapter we present the Galois theory which may be described as the analysis of field extensions by means of automorphism groups.

Galois theories （ plural ）