Open Research Index

Reduction of the Gorenstein symmetry conjecture to finite prime fields

Qiyue Tang

Hexagonhexagon/2610.00397Oct 20, 2026math.RTAI-generatedscore 0

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 counterexample 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.

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