… a complete cotorsion pair ( W , F ) an injective cotorsion pair … As we will make clear, such a
cotorsion pair is equivalent to an … The canonical example of an injective cotorsion pair would …

… of injective cotorsion pairs. Then in Section 7 we show how to lift an injective cotorsion
pair … Finally in Section 8 we look exclusively at the Gorenstein complexes and the Krause-like …

… with respect to the cotorsion pair (A, B) are introduced. We show that these complexes are
just the complexes of Gorenstein projective modules with respect to the cotorsion pair (A, B). …

… As an application, we get that every complex over a right coherent ring has a Gorenstein
flat cover, which generalizes the well-known results on the existence of Gorenstein flat covers. …

… Moreover, we shall show that it is possible to construct hereditary complete cotorsion pairs
from them, as well as left and right approximations. Several of the results presented in this …

… over an Iwanaga-Gorenstein ring, we present the concept of left and right n-cotorsion
pairs in an … if A is part of a certain left n-cotorsion pair of complexes, then ( A , B ) is a left n-cotorsion …

… has its origin in stable homotopy theory of CW-complexes [26,52]. Our results give some …
for the stable category of Cohen–Macaulay modules iff for any cotorsion pair (X,Y) is Mod-Λ, …

… and hereditary cotorsion pair in a bicomplete abelian category 𝒜. We introduce a Gorenstein
… relative Tate cohomology of complexes with respect to the cotorsion pair (𝒳,𝒴). For each …

… complexes belonging to some fixed family of complexes. … by complexes”, the ones concerning
the cotorsion pairs induced by … cotorsion pairs induce model structures in the category of …

… complete hereditary cotorsion pair (X, Y), we introduce the concept of (X, X ∩ Y)-Gorenstein …
in the categories of modules and chain complexes over a Gorenstein ring R. If n is a positive …