Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

We introduce and study strongly Gorenstein subcategory 𝒮 𝒢 (𝒞), relative to an additive full
subcategory 𝒞 of an abelian category 𝒜. When 𝒞 is self-orthogonal, we give some sufficient …

Let $\A $ be an abelian category, and $\V $, $\W $ two additive full subcategories of $\A $.
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …

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

The extension of scalars functor along a finite ring homomorphism is a classic example of a
functor which preserves purity and pure injectivity. We consider how this functor behaves …

We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …

This paper looks for Frobenius subcategories, via the separated monomorphism category
$\operatorname {smon}(Q, I,\mathscr {X}) $, and on the other hand, aims to establish an RSS …

Abstract Let (C, E, s C, E, s) be an extriangulated category with a proper class ξ of E E-
triangles, and WW an additive full subcategory of (C, E, s C, E, s). We provide a method for …

In the paper, we show that a uniformly bounded and nonnegative triangle functor between
Gorenstein derived categories of two CM-algebras induces a Gorenstein-projectively stable …

Let A be an artin algebra of finite CM-type. In this paper, we show that if A is virtually
Gorenstein, then the homotopy category of Gorenstein projective A- modules, denote K(A …