Matches in DBpedia 2016-04 for { ?s ?p "In commutative algebra, a regular ring is a commutative noetherian ring, such that the localization at every prime ideal is a regular local ring: that is, every such localization has the property that the minimal number of generators of its maximal ideal is equal to its Krull dimension.Jean-Pierre Serre defines a regular ring as a commutative noetherian ring of finite global homological dimension and shows that this is equivalent to the definition above."@en }
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- Regular_ring comment "In commutative algebra, a regular ring is a commutative noetherian ring, such that the localization at every prime ideal is a regular local ring: that is, every such localization has the property that the minimal number of generators of its maximal ideal is equal to its Krull dimension.Jean-Pierre Serre defines a regular ring as a commutative noetherian ring of finite global homological dimension and shows that this is equivalent to the definition above.".