Fundamental theorem of algebraic K-theory
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
rings
|
| gptkbp:category |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:generalizes |
gptkb:fundamental_theorem_of_algebraic_K_0-theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fundamental theorem of algebraic K-theory
|
| gptkbp:provenBy |
gptkb:Daniel_Quillen
|
| gptkbp:relatedTo |
gptkb:Quillen_K-theory
polynomial rings Laurent polynomial rings algebraic K-groups |
| gptkbp:state |
K_n(R[t, t^{-1}]) ≅ K_n(R) ⊕ K_{n-1}(R) for n ≥ 1
|
| gptkbp:yearProved |
1972
|
| gptkbp:bfsParent |
gptkb:Algebraic_K-theory
gptkb:Algebraic_K-theory_of_rings gptkb:Higher_K-theory gptkb:algebraic_K-theory |
| gptkbp:bfsLayer |
6
|