Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:K_0_ring
|
| gptkbp:application |
gptkb:motivic_integration
enumerative geometry motivic measures |
| gptkbp:builtBy |
abelian category
exact category varieties over a field |
| gptkbp:citation |
gptkb:SGA_6
Alexander Grothendieck's work |
| gptkbp:containsElement |
formal differences of isomorphism classes
|
| gptkbp:describes |
isomorphism classes of objects
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck ring
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:notableExample |
gptkb:Grothendieck_ring_of_schemes
gptkb:Grothendieck_ring_of_varieties |
| gptkbp:operator |
addition
multiplication |
| gptkbp:property |
commutative ring
unital ring |
| gptkbp:relatedTo |
gptkb:Grothendieck_group
|
| gptkbp:usedIn |
gptkb:algebra
gptkb:algebraic_K-theory |
| gptkbp:bfsParent |
gptkb:Grothendieck_group
|
| gptkbp:bfsLayer |
6
|