In this work we introduce the notion of higher $\mathbb {E} $-extension groups for an
extriangulated category $\mathcal {C} $ and study the quotients $\mathcal {X} _ {n+ …

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 this paper, we firstly obtain the analogue of a Bongartz completion for functorially finite
rigid subcategories in an extriangulated category and then we investigate the properties of n …

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 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 …

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 …

Let B be an extriangulated category which admits a cluster tilting subcategory T. We firstly
introduce notions of T-cluster tilting subcategories and related subcategories. Then we …