Last Updated:2025/12/05
Sentence

環に零因子が存在する場合、しばしば零因子でない全ての元を可逆化して得られる環を調べて、局所化後に自由になる加群を解析する。

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When the domain has zero divisors, one often studies its total ring of fractions to analyze modules that become free after localization.

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When the domain has zero divisors, one often studies its total ring of fractions to analyze modules that become free after localization.

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Related words

total ring of fractions

Noun
Japanese Meaning
(代数)与えられた環の全ての非零除子を分母として許容するように局所化された分数環。つまり、元の環の非零除子をすべて含む分母集合を用いて構成された環。
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環に零因子が存在する場合、しばしば零因子でない全ての元を可逆化して得られる環を調べて、局所化後に自由になる加群を解析する。

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