Reflexive modules and Auslander-type conditions

We study the category $\mathop{\mathrm{ref}}Λ$ of reflexive modules over a two-sided Noetherian ring $Λ$. We show that the category $\mathop{\mathrm{ref}}Λ$ is quasi-abelian if and only if $Λ$ satisfies certain Auslander-type condition on the minimal injective resolution of the ring itself. Furtherm