Local Noetherian domain: Difference between revisions
(New page: {{integral domain property}} {{local ring property}} ==Definition== A '''local Noetherian domain''' is a commutative unital ring that is ''all'' of these: a Noetherian ring, a [[...) |
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===Weaker properties=== | ===Weaker properties=== | ||
* [[Equidimensional ring]] | * [[Equidimensional ring]]: {{proofat|[[Local Noetherian domain implies equidimensional]]} | ||
* [[Local domain]] | * [[Local domain]] | ||
* [[Noetherian domain]] | * [[Noetherian domain]] | ||
* [[Local Noetherian ring]] | * [[Local Noetherian ring]] | ||
Revision as of 15:55, 10 March 2008
This article defines a property of integral domains, viz., a property that, given any integral domain, is either true or false for that.
View other properties of integral domains | 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
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
A local Noetherian domain is a commutative unital ring that is all of these: a Noetherian ring, a local ring, and an integral domain.