… Note that every DG-injective complex is AC-injective since the definition of DG-injective is …
We emphasize that (2) and (3) have been established in the coherent case by Stovicek in […

… A module over a Gorenstein ring is saidto be Gorenstein injective … a Gorenstein ring every
module has a Gorenstein injective … and so is an injective DG-module by Corollary 4.6. Then by …

… class of Gorenstein injective modules is … of dg-Gorenstein injective complexes is covering
in Ch(R) if and only if every complex of Gorenstein injective modules is dg-Gorenstein injective. …

… dgI is the class of DG-injective complexes. This cotorsion pair … case and this appears in
Proposition 7.3 below. We note that the only difference between the projective and injective case …

… I is the class of DG-injective complexes. This cotorsion pair completely determines the standard
… In this case M = ( W , F ) determines an injective model structure on A with F the class of …

… We get similar results with DG-flat covers. These … of pure injective envelopes of complexes
and we enlarge the class of Gorenstein projective complexes to get Gorenstein flat complexes …

… , in which case the cofibrant objects are called Gorenstein … , in which case the fibrant objects
are called Gorenstein injective … be a Gorenstein injective A-module and argue that it is a dg-…

… If we consider the case where the R-complex M is a module and the injective dimension
is zero, then we recover our original theorem. While the question that started the project—“when …

… covers over commutative Gorenstein rings We prove in this section that the class of DG-injective
complexes over a commutative Gorenstein … sum of exact covers is an exact cover if and …

… In Section 5 we establish an affirmative answer in case A is a … a Gorenstein module necessarily
has a minimal Gorenstein module M (unique up to isomorphism) such that all Gorenstein …