Last Updated
：2025/12/04
fractional ideal
Noun
Japanese Meaning
分数イデアル：整域 R とその分数体 K = Frac(R) において、K の R 部分加群 I で、ある非零元 r ∈ R が存在し、rI ⊆ R となるもの。
（ plural ）
Quizzes for review
(algebra, ring theory) Given an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R.
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fractional ideal
In algebraic number theory, a fractional ideal is an R-submodule of the field of fractions that becomes an ideal of R after multiplication by a suitable nonzero element of R.
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In algebraic number theory, a fractional ideal is an R-submodule of the field of fractions that becomes an ideal of R after multiplication by a suitable nonzero element of R.
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