Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

For any ring AA and a small, pre‐additive, Hom‐finite, and locally bounded category QQ that
has a Serre functor and satisfies the (strong) retraction property, we show that the category …

We study cotorsion pairs and abelian model structures on Morita rings Λ=(ANBAMABB)
which are Artin algebras. Given cotorsion pairs (U, X) and (V, Y) in A-Mod and B-Mod …

In this paper, we give a relationship between projective generators (resp., injective
cogenerators) in the category of R-modules and the counterparts in the category of …

In this paper we extend the notion of FP-injective modules to that of complexes and
characterize such complexes. We show that some characterizations similar to those for …

We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

For an abelian category A we investigate when the stable categories GPro _ j (A) and GIn _ j
(A) are triangulated equivalent. To this end, we realize these stable categories as homotopy …

Let R be a ring and X a chain complex of R-modules. It is proven that if each term X_i X i is
Ding injective in R-Mod for all i ∈ Z i∈ Z, and there exists an integer k such that each Z _iX …

Let R be any ring with identity and Ch (R) C h (R) the category of chain complexes of (left) R-
modules. We show that the Gorenstein AC-projective chain complexes of 1 are the cofibrant …