English

Gorenstein weak global dimension is symmetric

Rings and Algebras 2021-06-07 v2 Commutative Algebra

Abstract

We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein weak global dimension is a left-right symmetric invariant -- just like the (absolute) weak global dimension.

Keywords

Cite

@article{arxiv.2103.09703,
  title  = {Gorenstein weak global dimension is symmetric},
  author = {Lars Winther Christensen and Sergio Estrada and Peder Thompson},
  journal= {arXiv preprint arXiv:2103.09703},
  year   = {2021}
}

Comments

Minor revisions. Final version, to appear in Math. Nachr.; 9 pp

R2 v1 2026-06-24T00:16:41.442Z