English

Five theorems on Gorenstein global dimensions

Rings and Algebras 2022-08-12 v2 Commutative Algebra

Abstract

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension zero and give two new characterizations of rings of finite Gorenstein (weak) global dimension. We also include the answer to a question of Y.~Xiang on Gorenstein weak global dimension of group rings.

Keywords

Cite

@article{arxiv.2203.12375,
  title  = {Five theorems on Gorenstein global dimensions},
  author = {Lars Winther Christensen and Sergio Estrada and Peder Thompson},
  journal= {arXiv preprint arXiv:2203.12375},
  year   = {2022}
}

Comments

Minor editorial changes. Final version, to appear in Contemp. Math; 12 pp

R2 v1 2026-06-24T10:23:17.710Z