Cotorsion pairs induced by duality pairs - Mathematics > Commutative AlgebraReport as inadecuate




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Abstract: We introduce the notion of a duality pair and demonstrate how the left halfof such a pair is often covering and preenveloping. As an application, wegeneralize a result by Enochs et al. on Auslander and Bass classes, and weprove that the class of Gorenstein injective modules introduced by Enochs andJenda is covering when the ground ring has a dualizing complex.



Author: Henrik Holm, Peter Jorgensen

Source: https://arxiv.org/







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