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Algebra

A counterexample to finitistic-dimension finiteness

OpenAI research collection · 1 manuscript · Source checked 2026-10-19

OpenAI's result summary

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.

This PDF is listed in OpenAI's formalization catalogue. See the scope and dependencies before interpreting coverage.

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