The notion of a pseudo cluster tilting subcategory $\mathcal X $ in an extriangulated
category $\mathcal C $ is defined in this article. We prove that the quotient category …

The aim of this paper is to study silting-discrete triangulated categories. We establish a
simple criterion for silting-discreteness in terms of 2-term silting objects. This gives a …

The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

Let T be a Krull-Schmidt Hom-finite (n+ 2)-angulated category with n-suspension functor Σn
and Serre functor S. Assume T is an Oppermann-Thomas cluster tilting object in T and G is …

We define n-angulated categories by modifying the axioms of triangulated categories in a
natural way. We show that Heller's parametrization of pre-triangulations extends to pre-n …

arXiv:1201.2499v2 [math.RT] 27 Nov 2012 Page 1 arXiv:1201.2499v2 [math.RT] 27 Nov
2012 TRIANGULATED SUBCATEGORIES OF EXTENSIONS AND TRIANGLES OF …

Abstract In n-Exangulated Categories (I), we introduced the notion of n-exangulated
categories for each positive integer n. It is not only a higher dimensional analogue of …

We show that the relative Auslander–Buchweitz context on a triangulated category T
coincides with the notion of co-t-structure on certain triangulated subcategory of T (see …

For a recollement ( A , B , C ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …

We provide a technique to glue simple-minded collections along a recollement of Hom-finite
Krull-Schmidt triangulated categories over a field. This gluing technique for simple-minded …