Abstract
In this paper we prove that if D is a Prufer domain such that given a proper invertible integral ideal A of D there exists a nonempty finite set of finitely generated maximal ideals that contain A, then D has the simultaneous basis property. This result is used to study two old open problems: "Does every Prufer domain have the PA-property?", and "Is every Bezout domain an elementary divisor domain?". We include also a new different proof of the simultaneous basis property for valuations domains.
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