What was already known
Torsion gives elementary zero divisors. Kaplansky’s conjecture instead asks whether removing torsion suffices; positive results for particular torsion-free classes do not settle that universal assertion.
What changed and why it matters
Refutes the stated zero-divisor conjecture while retaining torsion-freeness and finite presentation.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
The construction is in characteristic two. It does not establish a counterexample over every field, and it is distinct from the separate direct-finiteness claim. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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