Serre's theorem on projective modules
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Quillen–Suslin_theorem
|
| gptkbp:concerns |
polynomial ring
projective module |
| gptkbp:field |
gptkb:algebra
gptkb:commutative_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's theorem on projective modules
|
| gptkbp:proposedBy |
gptkb:Jean-Pierre_Serre
|
| gptkbp:provenBy |
gptkb:Andrei_Suslin
gptkb:Daniel_Quillen |
| gptkbp:relatedTo |
gptkb:Serre's_problem
gptkb:Hilbert's_syzygy_theorem free module |
| gptkbp:state |
Every finitely generated projective module over a polynomial ring over a field is free
|
| gptkbp:yearProposed |
1955
|
| gptkbp:yearProved |
1976
|
| gptkbp:bfsParent |
gptkb:Serre's_theorem
|
| gptkbp:bfsLayer |
5
|