Abstract
In this article we study when the dual of a t-ideal in a Prufer V-Multiplication Domain (PVMD) is a ring and we treat the question of when it coincides with its endomorphism ring. We also study particular classes of overrings of PVMDs. Specifically, we investigate the Nagata transform and the endomorphism ring of ideals in PVMDs in an attempt to establish analogues for well-known results on overrings of Prufer domains.