Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
algebraic theorem
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| gptkbp:formedBy |
gptkb:David_Hilbert
1893 |
| gptkbp:implies |
existence of solutions to polynomial equations over algebraically closed fields
|
| gptkbp:relatedTo |
gptkb:Hilbert's_Nullstellensatz
|
| gptkbp:state |
If k is an algebraically closed field and I is a proper ideal in k[x_1,...,x_n], then I has a common zero in k^n.
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| gptkbp:bfsParent |
gptkb:Nullstellensatz
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weak Nullstellensatz
|