factor ideal

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(algebra, ring theory) For given ring R, any ideal I such that Q = R / I, the set of cosets of elements of I in R, is a ring (the quotient ring of I in R).

このボタンはなに？

Given a ring R and a factor ideal I, the factor ring Q is isomorphic to R/I.

詳細

意味（1）

(algebra, ring theory) For given ring R, any ideal I such that Q = R / I, the set of cosets of elements of I in R, is a ring (the quotient ring of I in R).

Consequently, we may speak of the sequence of invariant factor ideals of a finitely generated unitary module over a principal ideal domain A.

詳細

factor ideals （ plural ）