Last Updated
：2025/11/23
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
Quizzes for review
(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
Working over an algebraically closed field often allows one to conclude that every polynomial equation has a solution within that field.
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Working over an algebraically closed field often allows one to conclude that every polynomial equation has a solution within that field.
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