Commutative algebra | Ring theory

Krull ring

In commutative algebra, a Krull ring, or Krull domain, is a commutative ring with a well behaved theory of prime factorization. They were introduced by Wolfgang Krull in 1931. They are a higher-dimensional generalization of Dedekind domains, which are exactly the Krull domains of dimension at most 1. In this article, a ring is commutative and has unity. (Wikipedia).

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Related pages

Field extension | Prime ideal | Dedekind domain | Integrally closed domain | Integral domain | Unique factorization domain | Noetherian ring | Polynomial ring | Zariski ring | Discrete valuation ring | Picard group | Mori–Nagata theorem | Commutative ring