Last Updated:2025/12/04

To determine whether the field extension is Galois, we first check if the minimal polynomial is a separable polynomial over the base field.

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To determine whether the field extension is Galois, we first check if the minimal polynomial is a separable polynomial over the base field.

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体拡大がガロア拡大であるかを判定するために、まず既約多項式が基底体上で重根を持たない多項式(分離多項式)であるかを確認します。

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