Last Updated:2025/12/04
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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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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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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。
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