Gorenstein homological theory for differential modules

Abstract

We show that a differential module is Gorenstein projective if and only if its underlying module is Gorenstein projective. Dually, a differential module is Gorenstein injective if and only if its underlying module is Gorenstein injective.

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References in corpus (2)

• Class and rank of differential modules
• Representations of quivers over the algebra of dual numbers

Cited by in corpus (2)

• Frobenius functors and Gorenstein homological properties
• Higher differential objects in additive categories