Last Updated:2025/12/04
Sentence

定理を証明するために、LをK上の代数拡大(すなわちLの任意の元がKの係数をもつ零でない多項式を満たすような体の拡大)と仮定し、その元の最小多項式を調べます。

Quizzes for review

To prove the theorem, we assume L is an algebraic extension of K and examine the minimal polynomials of its elements.

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To prove the theorem, we assume L is an algebraic extension of K and examine the minimal polynomials of its elements.

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Related words

algebraic extension

Noun
Japanese Meaning
体Kのすべての元が、K係数の非零多項式の根となるような、体L/Kの拡大を意味し、代数的拡大または代数拡大とも呼ばれる。 / ある体Kの拡大体Lにおいて、Lの各要素がK上の非零多項式の根として表される性質を持った拡大を指す。
What is this buttons?

定理を証明するために、LをK上の代数拡大(すなわちLの任意の元がKの係数をもつ零でない多項式を満たすような体の拡大)と仮定し、その元の最小多項式を調べます。

Related Words

plural

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