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单词 Nakayama's lemma
释义 Nakayama's lemma
[´nä·kä´yā·mäz `lem·ǝ]
MATHEMATICS
The proposition that, if R is a commutative ring, I is an ideal contained in all maximal ideals of R, and M is a finitely generated module over R, and if IM = M, where IM denotes the set of all elements of the form am with a in I and m in M, then M = 0.
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