Last Updated:2025/12/04
Sentence

代数的整数論では、ある非零元で乗算すると R のイデアルになるような体の分数の R 部分加群(分数イデアル)は、イデアルの概念を一般化するために用いられる。

Quizzes for review

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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Related words

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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代数的整数論では、ある非零元で乗算すると R のイデアルになるような体の分数の R 部分加群(分数イデアル)は、イデアルの概念を一般化するために用いられる。

Related Words

plural

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