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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