Admissible intersection and sum property

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 Brüstle, 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.

Version 3: Major revision, 14 pages

References in corpus (4)

• The Jordan-Hölder property and Grothendieck monoids of exact categories
• Schur's lemma for exact categories implies abelian
• Exact structures and degeneration of Hall algebras
• Examples and non-examples of integral categories and the admissible intersection property

Cited by in corpus (4)

• The Jordan-Hölder property and Grothendieck monoids of exact categories
• Localizations of (one-sided) exact categories
• Schur's lemma for exact categories implies abelian
• Examples and non-examples of integral categories and the admissible intersection property