We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …

A notion of n-cotorsion pairs in an extriangulated category with enough projectives and
enough injectives is defined in this paper. We show that there exists a one-to-one …

In this article, we define the notion of $ n $-cotorsion pairs in triangulated categories, which
is a generalization of the classical cotorsion pairs. We prove that any mutation of an $ n …

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

In the present paper, we study the relationships of $ n $-cotorsion pairs among three abelian
categories in a recollement. Under certain conditions, we present an explicit construction of …

In this article, we prove that if $(\mathcal A,\mathcal B,\mathcal C) $ is a recollement of
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …

引入了左(右) n-Frobenius 对和特殊的左(右) n-Frobenius 对的定义, 研究了它们的性质,
讨论了左(右) n-Frobenius 对和右(左) n-余挠对之间的关系, 给出了特殊的左(右) n-Frobenius …

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 …

We present the concept of cotorsion pairs cut along subcategories of an abelian category.
This provides a generalization of complete cotorsion pairs, and represents a general …