In this paper, we consider a kind of ideal quotient of an extriangulated category such that the
ideal is the kernel of a functor from this extriangulated category to an abelian category. We …

We show that a tilting module over the endomorphism algebra of a maximal rigid object in a
2-Calabi-Yau triangulated category lifts to a maximal rigid object in this 2-Calabi-Yau …

In the paper of Keller and Reiten, it was shown that the quotient of a triangulated category
(with some conditions) by a cluster tilting subcategory becomes an abelian category. After …

This paper investigates a certain 2-Calabi-Yau triangulated category D whose Auslander-
Reiten quiver is ZA_ {\infty}. We show that the cluster tilting subcategories of D form a so …

A k-linear triangulated category A is called locally finite provided∑ X∈ indAdimkHomA (X,
Y)<∞ for any indecomposable object Y in A. It has Auslander–Reiten triangles. In this paper …

The main theme of this paper is to study $\tau $-tilting subcategories in an abelian category
$\mathscr {A} $ with enough projective objects. We introduce the notion of $\tau $-cotorsion …

A triangulated category $\mathcal {T} $ whose suspension functor $\Sigma $ satisfies
$\Sigma^ m\simeq\mathrm {Id} _ {\mathcal {T}} $ as additive functors is called an $ m …

Extriangulated categories give a simultaneous generalization of triangulated categories and
exact categories. In this paper, we study silting subcategories of an extriangulated category …

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 …