Bass–Quillen conjecture

GPTKB entity

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