English

A note on abelian envelopes

Category Theory 2024-11-28 v2 Representation Theory

Abstract

This is a short note bridging the gap between two notions of universal abelian categories associated to exact categories, namely, Rump's quotient categories and Bodzenta-Bondal's abelian envelopes. The established connection allows us to draw several easy conclusions, in particular, we answer some (baisc) questions raised by Bodzenta and Bondal.

Cite

@article{arxiv.2410.02019,
  title  = {A note on abelian envelopes},
  author = {Anya Nordskova},
  journal= {arXiv preprint arXiv:2410.02019},
  year   = {2024}
}

Comments

minor corrections

R2 v1 2026-06-28T19:06:03.464Z