On locally divided domains of the form ${rm Int}(D)$

Let D be an integral domain which is not a field. If either D is Noetherian or D is a Prüfer domain, then Int…D† is a treed domain if and only if it is a going-down domain. Suppose henceforth that …D;m† is Noetherian local and one-dimensional, with D=m finite. Then Int…D† is a going-down domain if and only if D is unibranched (inside its integral closure); and Int…D† is locally divided if and only if D is analytically irreducible. Thus, if D is unibranched but not analytically irreducible, then Int…D† provides an example of a two-dimensional going-down domain which is not locally divided. Also, Int…D† is a locally pseudo-valuation domain if and only if D is itself a pseudo-valuation domain. Thus, Int…D† also provides an example of a two-dimensional locally divided domain which is not an LPVD.