Cotorsion Pairs Induced by Duality Pairs

نویسنده

  • HENRIK HOLM
چکیده

We introduce the notion of a duality pair and demonstrate how the left half of such a pair is “often” covering and preenveloping. As an application, we generalize a result by Enochs et al. on Auslander and Bass classes, and we prove that the class of Gorenstein injective modules—introduced by Enochs and Jenda—is covering when the ground ring has a dualizing complex.

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تاریخ انتشار 2009