KnowraMaximal idealLinked fromLinked fromThe 15 pages that link to Maximal ideal, each with the reason it gives.All 15Broader topic 6Related 6Compared with 3Prime idealCompared with: Every maximal ideal in a commutative ring with identity is prime, but not conversely.Boolean prime ideal theoremCompared with: In Boolean algebras, maximal ideals are prime; the theorem guarantees such ideals exist.Krull's principal ideal theoremCompared with: A maximal ideal containing one element need not have height at most one.