Regular ring: Difference between revisions
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imported>Giovanni Antonio DiMatteo No edit summary |
imported>Giovanni Antonio DiMatteo No edit summary |
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==Definition== | ==Definition== | ||
A ''regular ring'' is a [[Noetherian ring]] such that the localisation at every prime is a [[Regular | A ''regular ring'' is a [[Noetherian ring]] such that the localisation at every prime is a [[Regular Local Ring|regular local ring]]. | ||
[[Category:CZ Live]] | [[Category:CZ Live]] | ||
[[Category:Mathematics Workgroup]] | [[Category:Mathematics Workgroup]] | ||
[[Category:Stub Articles]] | [[Category:Stub Articles]] | ||
Revision as of 14:30, 2 December 2007
Definition
A regular ring is a Noetherian ring such that the localisation at every prime is a regular local ring.