Last Updated：2025/11/28
Sentence
イデアルがすべて有限生成される環上の加群を扱うとき、多くの部分加群の上昇鎖は安定し、分類問題がより扱いやすくなります。
Quizzes for review
When working with modules over a Noetherian ring, many ascending chains of submodules stabilize, which makes classification problems more tractable.
See correct answer
When working with modules over a Noetherian ring, many ascending chains of submodules stabilize, which makes classification problems more tractable.
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Related words
Noetherian ring
IPA(Pronunciation)
Noun
Japanese Meaning
（代数学・環論）すべてのイデアルが有限生成される可換環、または左・右のイデアルがそれぞれ有限生成される非可換環のこと。
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