Statements (16)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:concerns |
polynomial rings
projective modules |
gptkbp:field |
gptkb:commutative_algebra
gptkb:algebraic_K-theory |
https://www.w3.org/2000/01/rdf-schema#label |
Bass–Quillen conjecture
|
gptkbp:namedAfter |
gptkb:Hyman_Bass
gptkb:Daniel_Quillen |
gptkbp:proposedBy |
1973
|
gptkbp:provenBy |
regular local rings containing a field
|
gptkbp:relatedTo |
gptkb:Serre's_problem
gptkb:Quillen–Suslin_theorem |
gptkbp:sentence |
Every finitely generated projective module over a polynomial ring over a regular Noetherian ring is extended from the base ring.
|
gptkbp:status |
open (in general)
|
gptkbp:bfsParent |
gptkb:k-theory
|
gptkbp:bfsLayer |
5
|