Fundamental Theorem of Algebraic K-theory
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
rings
schemes |
| gptkbp:field |
gptkb:algebra
gptkb:topology gptkb:algebraic_K-theory |
| gptkbp:generalizes |
Fundamental Theorem of Algebraic K-theory for n=0 and n=1
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:topology number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Fundamental Theorem of Algebraic K-theory
|
| gptkbp:implies |
K-theory of Laurent polynomial rings
|
| gptkbp:provenBy |
gptkb:Daniel_Quillen
|
| gptkbp:relatedTo |
gptkb:Quillen_K-theory
|
| gptkbp:state |
K_n(R[t, t^{-1}]) ≅ K_n(R) ⊕ K_{n-1}(R) for a ring R and n ≥ 1
|
| gptkbp:yearProved |
1972
|
| gptkbp:bfsParent |
gptkb:higher_algebraic_K-theory
|
| gptkbp:bfsLayer |
7
|