English

Higher Auslander--Solberg correspondence for exact categories

Representation Theory 2023-05-09 v2

Abstract

We introduce the concept of an nn-minimal Auslander--Gorenstein category and nn-precluster tilting subcategory. With this, we create an analog of the higher Auslander--Solberg correspondence (arXiv:1608.04179) for exact categories. Our approach is based on the recent generalization of the (higher) Auslander correspondence to exact categories (arXiv:2011.15107, arXiv:2108.13645).

Keywords

Cite

@article{arxiv.2207.05547,
  title  = {Higher Auslander--Solberg correspondence for exact categories},
  author = {Jacob Fjeld Grevstad},
  journal= {arXiv preprint arXiv:2207.05547},
  year   = {2023}
}

Comments

32 pages, 0 figures

R2 v1 2026-06-25T00:50:57.417Z