Classifying exact categories via Wakamatsu tilting

Published in J. Algebra, September 2017. Links: journal, arXiv:1610.07589

Citation: H. Enomoto, Classifying exact categories via Wakamatsu tilting, J. Algebra 485 (2017), 1--44.


This paper studies the Morita type theorem for exact categories. The Ext-perpendicular category of cotilting modules are precisely exact category with progen & inj cogen & higher kernels. Essentially I considered Auslander-Reiten’s famous paper Applications of contravariantly finite subcategories in the context of exact categories.

Presentation material