Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:Quillen,_Higher_Algebraic_K-theory_I,_1973
gptkb:Weibel,_The_K-book,_2013 |
| gptkbp:definedIn |
Rings
Schemes |
| gptkbp:field |
gptkb:Algebraic_K-theory
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Negative K-groups
|
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:notation |
K_{-n}(R)
|
| gptkbp:property |
Can be nonzero for singular rings
Vanish for regular rings |
| gptkbp:relatedTo |
gptkb:K-theory
Higher K-groups |
| gptkbp:studiedIn |
gptkb:algebra
gptkb:Algebraic_geometry |
| gptkbp:usedIn |
gptkb:Algebraic_cycles
gptkb:Motivic_cohomology |
| gptkbp:bfsParent |
gptkb:Negative_K-theory
|
| gptkbp:bfsLayer |
6
|