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 …

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 …

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 …

We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …

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

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we
study a relationship between an interval of the poset of cotorsion pairs and the poset of …

Abstract Assume that $(\mathcal C,\mathbb E,\mathfrak s) $ is an extriangulated category
satisfying Condition (WIC). Let $(\mathcal Q,\widetilde {\mathcal R}) $ and $(\widetilde …

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 the present article, we study the relationship of cotorsion pairs among three triangulated
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …

Let $(\mathcal {T}',\mathcal {T},\mathcal {T}'') $ be a recollement of triangulated categories.
Two complete ideal cotorsion pairs in $\mathcal {T}'$ and $\mathcal {T}''$ can be induced by …