== General question ==

Is this really correct? "...is called an N-1 ring if its integral closure in its quotient field is a finite A module."  Requiring the module to be finite seems like a rather strong condition, so I wonder if "finitely generated" is what was intended.  More references would be nice too, I've never heard of this ring, don't have access to all the references, and had trouble finding stuff online (except for one reference, which also has the "finite A module" terminology).