Cotorsion pairs induced by duality pairs

Details Cotorsion pairs induced by duality pairs Cotorsion pairs induced by duality pairs

2009-05-06

arxiv.org/abs/0905.0776v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

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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