Serre's criterion for regularity
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Noetherian local rings
|
| gptkbp:describes |
conditions for a Noetherian local ring to be regular
|
| gptkbp:field |
gptkb:commutative_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's criterion for regularity
|
| gptkbp:involves |
gptkb:Krull_dimension
depth |
| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
|
| gptkbp:publishedIn |
1955
|
| gptkbp:relatedTo |
gptkb:Serre's_criterion_for_normality
|
| gptkbp:state |
A Noetherian local ring is regular if and only if its Krull dimension equals its depth
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|