Last Updated:2025/11/22

(algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

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algebraically closed

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Source Word

algebraically closed

Adjective
not-comparable of a field
Japanese Meaning
代数的に閉じた:ある体が、体上で定義可能な任意の非定数な一変数多項式のすべての根を自身の中に含む性質
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その上で定義されるすべての非定数一変数多項式の根を含む体の上で作業すると、多くの場合、任意の多項式方程式がその体内に解を持つと結論づけられます。

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