Last Updated:2025/12/04
Sentence

S の R 上の整元とは、係数が R である首係数が1の多項式の根となる S の元のことです。

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An integral element of S over R is any element s ∈ S that is a root of some monic polynomial with coefficients in R.

See correct answer

An integral element of S over R is any element s ∈ S that is a root of some monic polynomial with coefficients in R.

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Related words

integral element

Noun
Japanese Meaning
可換単位元付き環 R の拡大環 S に属する要素 s が、R の元を係数とするモニック多項式の根である場合、その要素 s を R に対して「整的」である(整元)と呼ぶ。
What is this buttons?

S の R 上の整元とは、係数が R である首係数が1の多項式の根となる S の元のことです。

Related Words

plural

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