Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:arises_from |
category of finitely generated projective modules over a ring
|
| gptkbp:capturedBy |
isomorphism classes of projective modules
direct sum operation |
| gptkbp:defines |
ring R
|
| gptkbp:describes |
Grothendieck group of a ring
|
| gptkbp:field |
gptkb:algebra
gptkb:algebraic_K-theory |
| https://www.w3.org/2000/01/rdf-schema#label |
K 0 ring
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:introduced |
1950s
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:notation |
K_0(R)
|
| gptkbp:relatedTo |
gptkb:K-theory
gptkb:Grothendieck_group |
| gptkbp:type |
abelian group
ring (in some contexts) |
| gptkbp:usedFor |
classifying projective modules
|
| gptkbp:bfsParent |
gptkb:Grothendieck_ring
|
| gptkbp:bfsLayer |
7
|