The Auslander bijections and universal extensions
Representation Theory
2017-10-10 v2 Rings and Algebras
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.
Cite
@article{arxiv.1312.6560,
title = {The Auslander bijections and universal extensions},
author = {Xiao-Wu Chen},
journal= {arXiv preprint arXiv:1312.6560},
year = {2017}
}