Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative rings
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:generalizes |
gptkb:Hilbert's_syzygy_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert basis theorem
|
| gptkbp:implies |
every ideal in a polynomial ring over a Noetherian ring is finitely generated
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Hilbert's_Nullstellensatz
Noetherian ring |
| gptkbp:state |
If R is a Noetherian ring, then the polynomial ring R[x] is also Noetherian
|
| gptkbp:yearProved |
1888
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|