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.Maschke's theoremCompared with: It belongs to module theory's tools for analyzing nonsemisimple algebras and their radicals.Krull's principal ideal theoremRelated: Local proofs use it to turn finite generation into strong restrictions on generators.Artin–Rees lemmaCompared with: It converts filtration information into generation or vanishing conclusions in local applications.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.