fundamental theorem of algebraic K 0-theory
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
commutative rings
noncommutative rings |
| gptkbp:concerns |
rings
polynomial rings Laurent polynomial rings |
| gptkbp:field |
gptkb:algebraic_K-theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
fundamental theorem of algebraic K 0-theory
|
| gptkbp:implies |
structure of K_0 for Laurent polynomial rings
|
| gptkbp:partOf |
gptkb:algebraic_K-theory
|
| gptkbp:relatedTo |
gptkb:fundamental_theorem_of_algebraic_K-theory
Quillen's work |
| gptkbp:state |
K_0(R[t, t^{-1}]) ≅ K_0(R) ⊕ K_{-1}(R) ⊕ K_0(R)
|
| gptkbp:bfsParent |
gptkb:Fundamental_theorem_of_algebraic_K-theory
|
| gptkbp:bfsLayer |
7
|