Last Updated:2025/12/04
Sentence

L/Kを有限体拡大とすると、次数[L:K]はK上のベクトル空間としてのLの次元に等しい。

Quizzes for review

Let L/K be a finite field extension; then the degree [L:K] equals the dimension of L as a vector space over K.

See correct answer

Let L/K be a finite field extension; then the degree [L:K] equals the dimension of L as a vector space over K.

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Related words

field extension

Noun
Japanese Meaning
体の拡大:代数学、体論、代数幾何学の文脈において、ある体Kを部分体として含む体Lとの組(L/K)を指す概念。
What is this buttons?

L/Kを有限体拡大とすると、次数[L:K]はK上のベクトル空間としてのLの次元に等しい。

Related Words

plural

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