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Division-ring local-finiteness limitation reference
Family 201: A counterexample to Kurosh’s division-ring problem. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Algebra researchers can preserve a two-generator algebraic-over-center example with infinite dimension.
Applicability and commercial boundary
The countable division-ring existence result is not a finite-field compression method or a practical noncommutative solver.
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 an effective finite description if one exists.
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.