Cotorsion pairs induced by duality pairs

By Henrik Holm, Peter Jørgensen. 2009

95 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/42370b5074d858ea2be54c32d276cda0ab6a5c1f