Abstract Let (C, E, s)(C, E, s) be an extriangulated category with a proper class ξ ξ of E E-
triangles. In a previous work, we introduced and studied the ξ ξ-GG projective and the ξ ξ-GG …

Balanced pairs appear naturally in the realm of relative homological algebra associated with
the balance of right-derived functors of the Hom functor. Cotorsion triplets are a natural …

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 …

On rings with finite Gorenstein weak global dimension Page 1 Journal of Algebra and Its
Applications Vol. 22, No. 5 (2023) 2350111 (15 pages) c© World Scientific Publishing Company …

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 …

We study homotopy categories of model categories arising from a cotorsion triple, and the
equivalences between corresponding stable categories. We characterize homological …

Let (C, E, s) be an extriangulated category with a proper class ξ of E-triangles. We study
complete cohomology of objects in (C, E, s) by applying ξ-projective resolutions and ξ …

Let $(\mathcal {C},\mathbb {E},\mathfrak {s}) $ be an extriangulated category with a proper
class $\xi $ of $\mathbb {E} $-triangles. In this paper, we study the balance of complete …

Given a non-negative integer n and a complete hereditary cotorsion triple, the notion of
subcategories in an abelian category is introduced. It is proved that a virtually Gorenstein …

In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …