Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Functor
|
| gptkbp:appliesTo |
rings
abelian categories exact categories schemes |
| gptkbp:capturedBy |
Grothendieck group of isomorphism classes of projective modules
|
| gptkbp:categoryTheoryConcept |
yes
|
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:firstAppearance |
1950s
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
K0 functor
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:mappedFrom |
category of rings
|
| gptkbp:mapType |
abelian groups
|
| gptkbp:notation |
gptkb:K_0
|
| gptkbp:relatedTo |
gptkb:higher_K-theory
gptkb:K1_functor |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology operator algebras |
| gptkbp:bfsParent |
gptkb:Grothendieck's_K-theory
|
| gptkbp:bfsLayer |
7
|