-torsionless modules with finite Gorenstein dimension
Maryam Salimi, Elham Tavasoli, Siamak Yassemi (2012)
Czechoslovak Mathematical Journal
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Let be a commutative Noetherian ring. It is shown that the finitely generated -module with finite Gorenstein dimension is reflexive if and only if is reflexive for with , and for with . This gives a generalization of Serre and Samuel’s results on reflexive modules over a regular local ring and a generalization of a recent result due to Belshoff. In addition, for we give a characterization of -Gorenstein rings via Gorenstein dimension of the dual of modules. Finally...