For any group $ G $, the Gorenstein homological dimension ${\rm Ghd} _RG $ is defined to
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …

Abstract Let T=(RM 0 S) be a triangular matrix ring with R and S rings and RMS an R–S-
bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result …

Let (R, 𝔪) be a commutative Noetherian local ring. It is known that R is Cohen–Macaulay if
there exists either a nonzero finitely generated R-module of finite injective dimension or a …

In this paper, we study completeness of cotorsion pairs in the category of complexes of R-
modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair …

A finite module M over a noetherian local ring R is said to be Gorenstein if Ext i (k, M)= 0 for
all i≠ dim R. An endomorphism φ: R→ R of rings is called contracting if φ^ i (m) ⊆ m^ 2 for …

This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is
not yet known whether the category GF (R) of Gorenstein flat modules over a ring R is …

On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …

In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

Let 𝒜 be an abelian category. A subcategory 𝒳 of 𝒜 is called coresolving if 𝒳 is closed under
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …