Generalized Matlis duality
Richard G. Belshoff; Edgar E. Enochs; Juan Ramon Garcia Rozas. 
Proc. Amer. Math. Soc. 128 (2000), 1307-1312.

                       
Abstract: Let R be a commutative noetherian ring and let E be the minimal 
injective cogenerator 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 reflexive 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 and R/ann(M) is a complete semi-local ring.