Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
commutative algebra concept |
| gptkbp:application |
gptkb:algebraic_geometry
representation theory singularity theory |
| gptkbp:contrastsWith |
gptkb:Cohen–Macaulay_ring
gptkb:regular_ring |
| gptkbp:defines |
A Noetherian ring whose injective dimension as a module over itself is finite and equal to its Krull dimension
|
| gptkbp:example |
regular local ring
Artinian local ring with socle of dimension 1 |
| gptkbp:hasProperty |
finite injective dimension as a module over itself
self-injective as a module over itself |
| https://www.w3.org/2000/01/rdf-schema#label |
Gorenstein ring
|
| gptkbp:namedAfter |
gptkb:Daniel_Gorenstein
|
| gptkbp:relatedTo |
gptkb:Cohen–Macaulay_ring
gptkb:regular_ring |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
homological algebra |
| gptkbp:subclassOf |
Noetherian ring
|
| gptkbp:bfsParent |
gptkb:commutative_algebra
|
| gptkbp:bfsLayer |
5
|