KnowraNakayama's lemmaLinked fromLinked fromThe 7 pages that link to Nakayama's lemma, each with the reason it gives.All 7Related 5Compared with 2Commutative algebraRelated: It converts information modulo the maximal ideal into conclusions about a whole module.Local ringRelated: It turns containment in the maximal ideal into a powerful test for finite modules.Krull's principal ideal theoremRelated: Local proofs use it to turn finite generation into strong restrictions on generators.Jacobson's conjectureRelated: Radical powers interact with finite generation through Nakayama-type arguments.Krull's theoremRelated: Its local-ring applications rely on the maximal ideal whose general existence Krull's theorem establishes.