Krause studied the homotopy category K.(Inj A) of complexes of injectives in a locally noetherian Grothendieck abelian category A. Because A is assumed locally noetherian, we know that arbitrary direct sums of injectives are injective, and hence, the category K.InjA/ has coproducts. It turns out that K. (Inj A) is compactly generated, and Krause studies the relation between the compact objects in K. (Inj A)/, the derived category D.A/, and the category Kac. (Inj A) of acyclic objects in K. (Inj...[Show more]
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