English

Unusual spectral categories

Category Theory 2021-04-13 v1 Rings and Algebras

Abstract

The paper is devoted to a kind of `very non-abelian' spectral categories. Under strong conditions on a category X\mathcal{X}, we prove, among other things, that, for a given faithful localization CX\mathcal{C}\to\mathcal{X}, we have canonical equivalences Spec(C)X(CategoryofinjectiveobjectsinC)\mathrm{Spec}(\mathcal{C})\sim\mathcal{X}\sim(\mathrm{Category\,\,of\,\,injective\,\,objects\,\,in}\,\, \mathcal{C}), and that C\mathcal{C} has natural injective envelopes.

Cite

@article{arxiv.2002.08234,
  title  = {Unusual spectral categories},
  author = {María José Arroyo Paniagua and Alberto Facchini and Marino Gran and George Janelidze},
  journal= {arXiv preprint arXiv:2002.08234},
  year   = {2021}
}

Comments

10 pages

R2 v1 2026-06-23T13:46:55.585Z