A counterexample to finitistic-dimension finiteness
OpenAI research collection · 1 manuscript · Source checked 2026-10-19
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Constructs a finite-dimensional complex algebra whose finite-dimensional modules have unbounded finite projective dimensions. This disproves the little finitistic-dimension conjecture.
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MANUSCRIPT 01
An algebra of infinite little finitistic dimension
We construct a finite-dimensional complex algebra whose finite-dimensional modules have unbounded finite projective dimensions. This disproves the little finitistic-dimension conjecture.
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