KnowraCommutative ringLinked fromLinked fromThe 16 pages that link to Commutative ring, each with the reason it gives.All 16Broader topic 1Related 4Narrower topic 8Compared with 3Field (mathematics)Narrower topic: A field is a commutative ring in which every nonzero element is invertible.Formal power seriesNarrower topic: Formal series inherit their coefficient arithmetic from a commutative ring.Commutative algebraNarrower topic: These rings are the central objects commutative algebra investigates.Local ringNarrower topic: The usual local-ring theory in algebraic geometry specializes the broader class of commutative rings.Hilbert's basis theoremNarrower topic: The theorem is usually stated for commutative coefficient rings and their polynomial rings.Freshman's dreamNarrower topic: The identity is stated for this setting, where the binomial theorem applies.Krull's theoremNarrower topic: Commutativity is part of the theorem's stated setting.Sophie Germain's identityNarrower topic: Polynomial identities such as this hold across commutative rings, though factor properties depend on the ring.