The Auslander bijections and universal extensions

Published 23 Dec 2013 in math.RT and math.RA | (1312.6560v2)

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.

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Xiao-Wu Chen

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