Abstract
Let D be a pseudo-valuation domain with associated valuation domain V and let E be a nonempty subset of V. We show that is a globalized pseudo-valuation domain if and only if
is a Prüfer domain. In this case,
is the associated Prüfer domain of
is a globalized pseudo-valuation domain with associated Prüfer domain
furthermore, every ring between
and
is a globalized pseudo-valuation domain. Also, in this case, we describe the unitary maximal ideals of
and show that
is a Bézout domain.