KnowraMaximal idealLinked fromLinked fromThe 15 pages that link to Maximal ideal, each with the reason it gives.All 15Broader topic 6Related 6Compared with 3Commutative ringRelated: Quotienting a commutative ring by a maximal ideal produces a field.Hilbert's NullstellensatzRelated: The weak form characterizes maximal ideals by evaluation at field-valued points.Local ringRelated: A local ring is defined by having exactly one maximal ideal.Nakayama's lemmaRelated: Multiplication by this ideal is the operation whose fixed finite modules Nakayama’s lemma constrains.Weierstrass preparation theoremRelated: Vanishing coefficients and germs at the origin are organized by the maximal ideal.Gelfand–Mazur theoremRelated: Quotients by maximal ideals produce complex Banach division algebras.