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.
Funding Statement
This work is supported by National Natural Science Foundation of China (Nos. 11522113 and 11671245), and the Fundamental Research Funds for the Central Universities.
Citation
Xiao-Wu Chen. "The Auslander bijections and universal extensions." Ark. Mat. 55 (1) 41 - 59, September 2017. https://doi.org/10.4310/ARKIV.2017.v55.n1.a2
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