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Prove FinitisticAsymmetry (openai/math family 198: A counterexample to the little finitistic-dimension…

Prove FinitisticAsymmetry (openai/math family 198: A counterexample to the little finitistic-dimension…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 198 of the release, A counterexample to the little finitistic-dimension conjecture…

The task

Context: this statement belongs to family 198 of the release, *A counterexample to the little finitistic-dimension conjecture* (Algebra). The family as a whole: Constructs a finite-dimensional complex algebra whose finite-dimensional modules have unbounded finite projective dimensions. This disproves the little…

Part of raising-heart/openai-math.