Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Algebraically closed fields
|
| gptkbp:category |
Theorems in algebraic geometry
Theorems in algebra |
| gptkbp:field |
gptkb:Algebraic_geometry
gptkb:Commutative_algebra |
| gptkbp:formedBy |
gptkb:Emil_Artin
1920s |
| gptkbp:implies |
gptkb:Weak_Nullstellensatz
|
| gptkbp:relatedTo |
gptkb:Hilbert's_Nullstellensatz
|
| gptkbp:state |
If a polynomial vanishes on all common zeros of an ideal, then some power of the polynomial is in the ideal
|
| gptkbp:usedIn |
gptkb:Algebraic_geometry
gptkb:Commutative_algebra |
| gptkbp:bfsParent |
gptkb:Nullstellensatz
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Strong Nullstellensatz
|