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The Auslander bijections and universal extensions

Xiao-Wu Chen University of Science and Technology

Category Theory mathscidoc:1803.43008

Arkiv for Matematik, 55, 2017
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.
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@inproceedings{xiao-wu2017the,
  title={The Auslander bijections and universal extensions},
  author={Xiao-Wu Chen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301152722724795943},
  booktitle={Arkiv for Matematik},
  volume={55},
  year={2017},
}
Xiao-Wu Chen. The Auslander bijections and universal extensions. 2017. Vol. 55. In Arkiv for Matematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301152722724795943.
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