On a proof of the Gorenstein Symmetry Conjecture

Weiqing Li

On a proof of the Gorenstein Symmetry Conjecture

Representation Theory 2026-07-30 v1

Authors: Weiqing Li

Abstract

We give a homological proof of the famous Gorenstein Symmetry Conjecture, which asserts that one-sided finiteness of the self-injective dimension of an Artin algebra is sufficient for Gorensteinness.

Keywords

Gorenstein Symmetry Conjecture Artin algebra self-injective dimension homological algebra

Cite

@article{arxiv.2607.28011,
  title  = {On a proof of the Gorenstein Symmetry Conjecture},
  author = {Weiqing Li},
  journal= {arXiv preprint arXiv:2607.28011},
  year   = {2026}
}

Comments

9 pages