maximal ideal

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(algebra, ring theory) An ideal which cannot be made any larger (by adjoining any element to it) without making it improper (i.e., equal to the whole of the containing algebraic structure).

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Every maximal ideal in a commutative ring corresponds to a field when we take the quotient by that ideal.

詳細

意味（1）

(algebra, ring theory) An ideal which cannot be made any larger (by adjoining any element to it) without making it improper (i.e., equal to the whole of the containing algebraic structure).

Denote the minimal prime ideal in (b) by J_ mathsf max(𝜆), the unique maximal ideal of infinitesimal character 𝜆.

詳細

maximal ideals （ plural ）