Grothendieck group construction
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative monoid
|
| gptkbp:builtBy |
formal differences of elements
|
| gptkbp:category |
abstract algebra
|
| gptkbp:firstDescribed |
1950s
|
| gptkbp:generalizes |
group completion
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck group construction
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:produces |
abelian group
|
| gptkbp:property |
universal group for a monoid homomorphism
|
| gptkbp:purpose |
to construct a group from a monoid
|
| gptkbp:relatedTo |
gptkb:Grothendieck_group
|
| gptkbp:usedIn |
gptkb:algebra
gptkb:K-theory gptkb:category_theory |
| gptkbp:bfsParent |
gptkb:Topological_K-theory
|
| gptkbp:bfsLayer |
6
|