On Azumaya graphs (Q1868344)

An object \(A\) of a closed monoidal bicategory is Azumaya when the canonical morphism from the tensor unit to the endo-object of \(A\) is an equivalence. The authors investigate this notion for the monoidal bicategory whose objects are enriched categories without identities (over a base monoidal category) that are regular (in a suitable sense) and whose morphisms are regular modules.