Last Updated
：2025/12/04
factor ideal
Noun
Japanese Meaning
与えられた環 R において、商環 R/I（R の各元がイデアル I によって同値類に分類された構造）が形成されるようなイデアルを指します。
（ plural ）
Quizzes for review
(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).
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factor ideal
Given a ring R and a factor ideal I, the factor ring Q is isomorphic to R/I.
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Given a ring R and a factor ideal I, the factor ring Q is isomorphic to R/I.
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