Regular local ring: Difference between revisions
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===Stronger properties=== | ===Stronger properties=== | ||
* [[Discrete valuation ring]] | |||
===Weaker properties=== | ===Weaker properties=== | ||
Revision as of 12:48, 17 March 2008
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
Symbol-free definition
A local commutative unital ring is said to be regular if its unique maximal ideal is generated (as a module over the ring) by as many elements as the Krull dimension of the ring.