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Keywords:
$n$-exangulated category; generalized Auslander-Reiten-Serre duality; restricted Auslander bijection
$n$-exangulated category; generalized Auslander-Reiten-Serre duality; restricted Auslander bijection
Summary:
The aim of this article is to study the relative Auslander bijection in \hbox {$n$-exangulated} categories. More precisely, we introduce the notion of generalized Auslander-Reiten-Serre duality and exploit a bijection triangle, which involves the generalized Auslander-Reiten-Serre duality and the restricted Auslander bijection relative to the subfunctor. As an application, this result generalizes the work by Zhao in extriangulated categories.
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