The Auslander-Reiten duality via morphisms determined by objects
arXiv:1612.02591 · doi:10.1016/j.jpaa.2017.05.007
Abstract
Given an exact category , we denote by the smallest additive subcategory containing injectives and indecomposable objects which appear as the first term of an almost split conflation. We prove that a deflation is right determined by some object if and only if its intrinsic kernel lies in . We give characterizations for having Auslander-Reiten duality.
12 pages