A finite dimensional algebra is Auslander-Gorenstein if and only if it has a well-defined Auslander-Reiten bijection, resolving a conjecture of Marczinzik.
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A new characterisation of Auslander-Gorenstein algebras
A finite dimensional algebra is Auslander-Gorenstein if and only if it has a well-defined Auslander-Reiten bijection, resolving a conjecture of Marczinzik.