nspired by the work of J $\o $ rgensen [J], we define a (upper-, lower-) symmetric
recollements; and give a one-one correspondence between the equivalent classes of the …

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

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

We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …

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 …

In this paper, we study the relationship of Gorenstein projective objects among three Abelian
categories in a recollement. As an application, we introduce the relation of $ n $-Gorenstein …

This paper is devoted to the study of recollements of functor categories in different levels. In
the first part of the paper, we start with a small category 𝒮 S and a maximal object s of 𝒮 S …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

Let T be a right exact functor from an abelian category B into another abelian category A.
Then there exists an abelian category, named comma category and denoted by (T↓ A). In …

We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …