Generalized matlis duality
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 HomR(HomR(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. ©2000 American Mathematical Society.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/s0002-9939-99-05130-8
Keywords
Duality, Matlis
Publication Date
1-1-2000
Recommended Citation
Belshoff, Richard, Edgar Enochs, and Juan GarcĂa Rozas. "Generalized Matlis duality." Proceedings of the American Mathematical Society 128, no. 5 (2000): 1307-1312.
Journal Title
Proceedings of the American Mathematical Society
