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Homological dimension counterexample library
Family 198: A counterexample to finitistic-dimension finiteness. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Algebra researchers can test claims of uniformly bounded finite projective dimensions for one finite-dimensional complex algebra.
Applicability and commercial boundary
Finite dimensionality of the algebra is not a practical finite computation bound for every module; the result gives no new resolution engine.
Initial business decision
Research reference or conditional symbolic/verification engineering. No practical implementation, recurring buyer need or profitability has been demonstrated; a weak business bridge is explicitly deferred.
Next verification action
Extract the algebra and explicit module family for a finite research fixture.
Evidence scope
The catalog statement was individually reviewed. Main-paper proof, construction effectiveness and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.