The Auslander bijections and universal extensions
Volume 55, Issue 1 (2017), pp. 41–59
Pub. online: 5 October 2022
Type: Article
Open Access
Open Access
Received
17 March 2016
17 March 2016
Revised
11 January 2017
11 January 2017
Published
5 October 2022
5 October 2022
Abstract
Universal extensions arise naturally in the Auslander bijections. For an abelian category having Auslander–Reiten duality, we exploit a bijection triangle, which involves the Auslander bijections, universal extensions and the Auslander–Reiten duality. Some consequences are given, in particular, a conjecture by Ringel is verified.