English

Admissible intersection and sum property

Representation Theory 2020-06-08 v3 Category Theory Rings and Algebras

Abstract

We introduce subclasses of exact categories in terms of admissible intersections or admissible sums or both at the same time. These categories are recently studied by Br\"ustle, Hassoun, Shah, Tattar and Wegner to give characterisations of quasi-abelian and abelian categories. We also generalise the Schur lemma to the context of exact categories.

Keywords

Cite

@article{arxiv.1906.03246,
  title  = {Admissible intersection and sum property},
  author = {Souheila Hassoun and Sunny Roy},
  journal= {arXiv preprint arXiv:1906.03246},
  year   = {2020}
}

Comments

Version 3: Major revision, 14 pages

R2 v1 2026-06-23T09:47:20.202Z