In this paper, we introduce the concept of Gorenstein flat comodules and give a description
of colocalization of Gorenstein flat comodules. A right C-comodule M is called a Gorenstein …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

Full article: Gorenstein Flat Complexes Over Coherent Rings with Finite Self-FP-Injective
Dimension Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …

A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …

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 …

Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …

In this paper, we introduce the notion of Gorenstein $(m, n) $-flat modules as an extension of
$(m, n) $-flat left $ R $-modules over a ring $ R $, where $ m $ and $ n $ are two fixed …