{"id":"openai-math/An-algebra-of-infinite-little-finitistic-dimension","pdf":"https://github.com/openai/math/blob/main/preprints/An-algebra-of-infinite-little-finitistic-dimension-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/An-algebra-of-infinite-little-finitistic-dimension-September-23-2026","tags":["representation-theory","homological-algebra"],"score":0,"title":"An algebra of infinite little finitistic dimension","domain":"Algebra","family":"198","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.RA","summary":"We construct a finite-dimensional complex algebra whose finite-dimensional modules have unbounded finite projective dimensions. This disproves the little finitistic-dimension conjecture.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"A counterexample to finitistic-dimension finiteness"}