ABSTRACT

We show that if A is a domain obtained by a certain rather general type of pullback from Prüfer and Bézout domains, then it satisfies the following property: for every n ≥ 0, all finitely generated projective A[X 1,…, X n ]-modules are extended from A. We construct a wide class of domains of Krull dimension one and arbitrary valuative dimension that satisfy the above property.