Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
polynomial rings over a field
|
| gptkbp:category |
gptkb:commutative_algebra
|
| gptkbp:field |
gptkb:algebra
homological algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
syzygy theorem
|
| gptkbp:implies |
finite projective dimension for modules over polynomial rings
|
| gptkbp:introduced |
gptkb:David_Hilbert
|
| gptkbp:introducedIn |
1890
|
| gptkbp:relatedTo |
gptkb:Hilbert's_basis_theorem
homological dimension syzygy (mathematics) |
| gptkbp:state |
Every finitely generated module over a polynomial ring over a field has a finite free resolution
|
| gptkbp:topic |
free resolutions
projective resolutions modules over polynomial rings |
| gptkbp:bfsParent |
gptkb:Auslander–Buchsbaum_theorem
|
| gptkbp:bfsLayer |
7
|