math-044-prove: Prove Kaplansky's Zero-Divisor Conjecture

[IndieMath:math-044:prove] Prove the Kaplansky's Zero-Divisor Conjecture conjecture through an IndieMath AI research attempt. Canonical statement: If G is a torsion-free group and K a field, the group ring K[G] has no zero divisors. Contributions fund model usage and related compute for this direction.

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