… category of chain complexes of modules over a … complexes built from the Gorenstein
injective modules. When R is a (left) coherent ring for which all flat modules have finite projective …

… chain complex over any ring has a Gorenstein AC-projective precover. These are precisely
… complex X Gorenstein AC-projective if there exists an exact complex of projective complexes …

… Gorenstein injective and projective complexes. Since then, Gorenstein homological theory
of complexes … )-Gorenstein complexes in [33]. They showed that under certain hypotheses, a …

… projective in R-Mod for each n ∈ Z. In this article, we show that a complex G is Gorenstein
projective … for any Cartan–Eilenberg projective complex P if and only if G is exact and Zn(G) is …

… Gorenstein projective and injective complexes. We show that a complex is Gorenstein projective
(resp., injective… an n-SG-projective (resp., injective) complex and prove that the modules …

… any exact chain complex with Gorenstein injective components … complex I and flat module
F. On the other hand, over any coherent ring, the cycles of any exact complex P with projective …

… defining Gorenstein projective dimension for every complex, we introduce in this section the
𝒳-Gorenstein projective dimension for every complex … the class 𝒫 of all projective modules. …

… N-complex with finite Gorenstein projective dimension and Y is an N-complex with finite
Gorenstein injective dimension… We define in this paper the nth Gorenstein cohomology groups …

… the Gorenstein projective and Gorenstein injective modules, … Gorenstein projective and
Gorenstein injective modules over Noetherian rings, see [7, 22, 16]. In order to extend Gorenstein …

… Gorenstein projective N-complexes. We show that an N-complex G is Cartan-Eilenberg
Gorenstein projective … ) and H n t ( G ) are Gorenstein projective modules for each n ∈ Z and t = 1 …