Last Updated
：2025/12/05
normal extension
Noun
Japanese Meaning
有限な代数拡大の一種であり、基底体上の任意の既約多項式について、その多項式の任意の根が含まれている場合、全ての根が含まれている拡大を指す。
（ plural ）
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(algebra) A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial.
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normal extension
A finite algebraic extension that contains every root of any irreducible polynomial over the base field is called a normal extension.
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A finite algebraic extension that contains every root of any irreducible polynomial over the base field is called a normal extension.
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