MathDBThe Zero Divisors Conjecture for group rings
The Zero Divisors Conjecture for group rings
Let be a division ring and let be a group. The Zero Divisors Conjecture. If contains zero divisors, then has torsion. The source states that the Invertibles Conjecture implies this conjecture, but the supplied text does not specify whether it has been resolved.
Sources & referencesView supporting material
Primary source
Ken Dykema, Timo Heister and Kate Juschenko, “Finitely presented groups related to Kaplansky's Direct Finiteness Conjecture”, arXiv:1112.1790 (2012).
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