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Generalized Matlis duality |
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| Authors: | Richard G Belshoff Edgar E Enochs Juan Ramon Garcí a Rozas |
| Institution: | Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804 ; Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506 ; Department of Algebra and Analysis, University of Almería 04120 Almería, Spain |
| Abstract: | Let  be a commutative noetherian ring and let  be the minimal injective cogenerator of the category of  -modules. A module  is said to be reflexive with respect to  if the natural evaluation map from  to  is an isomorphism. We give a classification of modules which are reflexive with respect to  . A module  is reflexive with respect to  if and only if  has a finitely generated submodule  such that  is artinian and  is a complete semi-local ring. |
| Keywords: | Matlis duality |
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