Regular ring: Difference between revisions
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A [[commutative unital ring]] is termed a '''regular ring''' if its [[localization at a prime ideal|localization at any prime ideal]] is a [[regular local ring]]. | A [[commutative unital ring]] is termed a '''regular ring''' if its [[localization at a prime ideal|localization at any prime ideal]] is a [[regular local ring]]. | ||
==External links== | |||
* {{mw|RegularRing}} | |||
Revision as of 21:53, 5 January 2008
This is not to be confused with von-Neumann regular ring
This article defines a property of commutative unital rings; a property that can be evaluated for a commutative unital ring
View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions
Definition
A commutative unital ring is termed a regular ring if its localization at any prime ideal is a regular local ring.