What was already known
The conjecture bounds finite projective dimensions over each fixed finite-dimensional algebra. Varying the algebra or exhibiting only infinite projective dimensions would not refute it.
What changed and why it matters
Refutes universal finiteness with one fixed algebra and unbounded terminating projective resolutions.
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 complex algebra is fixed before the module family varies. This record does not conflate its characteristic-zero example with the family’s separate characteristic-two construction. 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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