Generalized Matlis duality

Let R be a commutative noetherian ring and let E be the minimal injective c ogenerator of the category of R-modules. A module M is said to be reflexive with respect to E if the natural evaluation map from M to Hom(R) (Hom(R) ( M;E);E) is an isomorphism. We give a classification of modules which are re flexive with respect to E. A module M is reflexive with respect to E if and only if M has a finitely generated submodule S such that M/S is artinian a nd R/ann(M) is a complete semi-local ring.