Let $\mathscr {C} $ be an extriangulated category with enough projectives and injectives.
We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it coincides …

A notion of balanced pairs in an extriangulated category with a negative first extension is
defined in this article. We prove that there exists a bijective correspondence between …

In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in
extriangulated categories which extend the given ones for abelian categories. Although …

In the previous article “Hearts of twin cotorsion pairs on exact categories. J. Algebra, 394,
245–284 (2013)”, we introduced the notion of the heart for any cotorsion pair on an exact …

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 …

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 …

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

Extriangulated categories were introduced by Nakaoka and Palu by extracting the
similarities between exact categories and triangulated categories. Nakaoka and Palu …

In this article, we introduce the notion of {\it concentric twin cotorsion pair} on a triangulated
category. This notion contains the notions of $ t $-structure, cluster tilting subcategory, co-$ t …

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 …