Kaplansky zero divisor conjecture
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:algebra
ring theory |
| gptkbp:formedBy |
gptkb:Irving_Kaplansky
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kaplansky zero divisor conjecture
|
| gptkbp:relatedTo |
gptkb:Kaplansky_idempotent_conjecture
gptkb:Kaplansky_unit_conjecture group ring zero divisor |
| gptkbp:sentence |
If G is a torsion-free group and K is a field, then the group ring K[G] has no zero divisors.
|
| gptkbp:status |
open problem
|
| gptkbp:yearProposed |
1940s
|
| gptkbp:bfsParent |
gptkb:Kaplansky's_conjectures
|
| gptkbp:bfsLayer |
6
|