Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:application |
gptkb:algebraic_geometry
gptkb:topology representation theory |
| gptkbp:characterizedBy |
quadratic relations
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:example |
gptkb:Lie_group
polynomial ring exterior algebra |
| gptkbp:field |
gptkb:algebra
gptkb:mathematics |
| gptkbp:hasProperty |
minimal graded free resolution is linear
|
| https://www.w3.org/2000/01/rdf-schema#label |
Koszul algebra
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:isA |
graded algebra
quadratic algebra |
| gptkbp:namedAfter |
gptkb:Jean-Louis_Koszul
|
| gptkbp:opposedBy |
non-Koszul algebra
|
| gptkbp:property |
has linear free resolution of the ground field
|
| gptkbp:relatedTo |
gptkb:Koszul_complex
gptkb:Koszul_duality |
| gptkbp:studiedIn |
gptkb:commutative_algebra
noncommutative geometry homological algebra |
| gptkbp:usedIn |
gptkb:category_theory
syzygy theory |
| gptkbp:bfsParent |
gptkb:Jean-Louis_Koszul
|
| gptkbp:bfsLayer |
5
|