Last Updated:2025/11/28
Sentence

代数体を研究するとき、しばしばその体の整数環に出くわし、それはすべての真のイデアルが素イデアルの積に一意的に分解される整域である。

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When studying algebraic number fields, one often encounters a Dedekind domain as the ring of integers of the field.

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When studying algebraic number fields, one often encounters a Dedekind domain as the ring of integers of the field.

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Related words

Dedekind domain

Noun
Japanese Meaning
(代数、環論)すべての真のイデアルが、素イデアルの積に一意的(順序に関してのみ)に分解される整域(環)のこと。
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代数体を研究するとき、しばしばその体の整数環に出くわし、それはすべての真のイデアルが素イデアルの積に一意的に分解される整域である。

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