principal ideal

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(algebra) An ideal I in an algebraic object R (which could be a ring, algebra, semigroup or lattice) that is generated by a given single element a ∈ R; the smallest ideal that contains a.

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In the ring R, the principal ideal generated by a single element a influences many structural properties of R.

詳細

意味（1）

(algebra) An ideal I in an algebraic object R (which could be a ring, algebra, semigroup or lattice) that is generated by a given single element a ∈ R; the smallest ideal that contains a.

principal ideals （ plural ）