Kaplansky idempotent conjecture
GPTKB entity
Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
group algebras
|
| gptkbp:field |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kaplansky idempotent conjecture
|
| gptkbp:proposedBy |
gptkb:Irving_Kaplansky
|
| gptkbp:relatedTo |
gptkb:Kaplansky's_conjectures
group ring idempotent element |
| gptkbp:sentence |
If G is a torsion-free group and K is a field, then the group algebra K[G] has no nontrivial idempotents.
|
| gptkbp:status |
open
|
| gptkbp:bfsParent |
gptkb:Kaplansky's_conjectures
|
| gptkbp:bfsLayer |
6
|