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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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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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Related words
primitive polynomial
Noun
Japanese Meaning
原始多項式：整域 R 上の多項式のうち、全ての係数に共通して非可逆元が割り切られることがなく、すなわち係数の最大公約数が1である多項式。 / より一般的には、GCD整域 R 内で、各係数に共通する非単元（非単位元）によって全体の割り切りを受けない多項式を指す。
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