{"id":"hexagon/2610.00397","pdf":"https://hexagonmath.org/pdf/2610.00397v1","url":"https://hexagonmath.org/abs/2610.00397v1","tags":["msc:16E10","msc:16E05","msc:16G10","Gorenstein symmetry conjecture"],"score":0,"title":"Reduction of the Gorenstein symmetry conjecture to finite prime fields","domain":"math.RT","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.RT","summary":"We prove that the Gorenstein symmetry conjecture for finite-dimensional algebras over arbitrary fields is equivalent to its restriction to the finite prime fields. A counterex\u0002ample specializes to a finite field without changing its dimension or its finite self-injective dimension. In characteristic zero, a counterexample yields counterexamples of one fixed dimension over every prime field outside a finite set.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-20","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}