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The elements α, β, and γ are algebraically independent over the base field, so any polynomial relation among them with coefficients in the base field must be trivial.
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The elements α, β, and γ are algebraically independent over the base field, so any polynomial relation among them with coefficients in the base field must be trivial.
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Related words
algebraically independent
Adjective
not-comparable
Japanese Meaning
ある体拡大 L/K において、拡大体 L の部分集合 S の各元が、基底体 K の係数を持つ任意の非自明な多項式方程式（すなわち、定数項だけでなく変数も含む多項式）の解にならないこと、すなわち、その元同士に対して代数的な依存関係が存在しない状態を指す。
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