Let $ T $ be a right exact functor from an abelian category $\mathscr {B} $ into another
abelian category $\mathscr {A} $. Then there exists an abelian category, named comma …

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 …

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 Gorenstein derived functors …

This paper mainly studies the relative Gorenstein objects in the extriangulated category
$\mathcal {C}=(\mathcal {C},\mathbb {E},\mathfrak {s}) $ with a proper class $\xi $ and the …

In this paper, we first provide an explicit procedure to glue complete hereditary cotorsion
pairs along the recollement $(\mathcal {A},\mathcal {C},\mathcal {B}) $ of abelian categories …

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 …

Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous
generalization of exact categories and triangulated categories. In this paper, we first …

Let T be a triangulated category with a proper class ξ of triangles. We introduce the notions
of left Frobenius pairs, left (n-) cotorsion pairs and left (weak) Auslander-Buchweitz contexts …

Given an abelian category, we introduce a categorical concept of (strongly) Gorenstein
projective (resp., injective) objects, by defining a new special class of objects. Then we study …

We give a new characterization of silting subcategories in the stable category of a Frobenius
extriangulated category, generalizing the result of Di, Liu, Wang and Wei (J. Algebra 525 …