Reflexive modules and Auslander-type conditions

We study the category $\mathrm{\Lambda }$ of reflexive modules over a two-sided Noetherian ring $\mathrm{\Lambda }$. We show that the category $\mathrm{\Lambda }$ is quasi-abelian if and only if $\mathrm{\Lambda }$ satisfies certain Auslander-type condition on the minimal injective resolution of the ring itself. Furthermore, we establish a Morita theorem which characterizes the category of reflexive modules among quasi-abelian categories in terms of generator-cogenerators.