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In algebraic geometry, a regular scheme is a locally Noetherian scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth.
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scheme regular smooth see algebraic geometry locally noetherian whose local rings everywhere every finite type perfect field example geometrically ring
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Regular scheme | is a | locally Noetherian scheme whose local rings are regular everywhere | 0.90 | text |
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