On Matlis dualizing modules.
Enochs, Edgar E., López-Ramos, J.A., Torrecillas, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Remarks on reflexive modules, covers, and envelopes.”
On Matlis dualizing modules.
-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...
Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
Robert Fossum, Hans-Bjorn Foxby, Phillip Griffith, Idun Reiten (1975)
Publications Mathématiques de l'IHÉS
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Mittag-Leffler modules, reduced products, and direct products
Alberto Facchini (1991)
Rendiconti del Seminario Matematico della Università di Padova
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On the Axiomatizability of Certain Classes of Modules.
Christian U. Jensen, Peter Vamos (1979)
Mathematische Zeitschrift
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Strongly -Gorenstein modules
Husheng Qiao, Zongyang Xie (2013)
Czechoslovak Mathematical Journal
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Let be a self-orthogonal class of left -modules. We introduce a class of modules, which is called strongly -Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly -Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly -Gorenstein module can be inherited by its submodules and quotient...