KnowraNoetherian ringLinked fromLinked fromThe 10 pages that link to Noetherian ring, each with the reason it gives.All 10Broader topic 2Related 4Narrower topic 3Compared with 1Hilbert's basis theoremNarrower topic: The theorem starts with this property in the coefficient ring and preserves it in polynomial rings.Artin–Rees lemmaNarrower topic: The theorem’s finite-generation hypothesis ensures the associated graded constructions are controlled.Jacobson's conjectureNarrower topic: The conjecture extends finiteness questions from general Noetherian rings to the right-sided condition.