Serre's criterion for normality
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Noetherian_rings
|
| gptkbp:condition |
(R1): regular in codimension 1
(S2): depth at least min(2, height of prime ideal) |
| gptkbp:describes |
normality of Noetherian rings
|
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's criterion for normality
|
| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
A Noetherian ring is normal if and only if it satisfies conditions (R1) and (S2)
|
| gptkbp:year |
1957
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|