Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:arise_from |
matrices over a ring
|
| gptkbp:definedIn |
ideals generated by minors of a matrix
|
| gptkbp:example |
ideal generated by 2x2 minors of a 2x3 matrix
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
determinantal ideals
|
| gptkbp:introduced |
gptkb:David_Hilbert
|
| gptkbp:property |
Cohen–Macaulay
prime if the matrix is generic |
| gptkbp:relatedTo |
gptkb:Buchsbaum–Rim_complex
Eagon–Northcott complex Hilbert–Burch theorem |
| gptkbp:studiedBy |
invariant theory
homological algebra |
| gptkbp:used_in |
study of algebraic varieties
study of resolutions study of syzygies |
| gptkbp:bfsParent |
gptkb:Buchsbaum–Eisenbud_structure_theorem
|
| gptkbp:bfsLayer |
7
|