Last Updated:2025/12/04

Gauss's lemma implies that a primitive polynomial in R[x] that factors over the field of fractions must factor as a product of primitive polynomials in R[x].

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Gauss's lemma implies that a primitive polynomial in R[x] that factors over the field of fractions must factor as a product of primitive polynomials in R[x].

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ガウスの補題は、R[x] の原始多項式が分数体上で因数分解されるならば、R[x] においても同じ性質を持つ原始多項式の積として因数分解されることを示す。

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