Auslander's defect formula and a commutative triangle in an exact category

Abstract

We prove Auslander's defect formula in an exact category, and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander-Reiten duality.

8 pages, final version

References in corpus (3)

• An introduction to higher Auslander-Reiten theory
• The generalized Auslander-Reiten duality on an exact category
• The Auslander-Reiten duality via morphisms determined by objects