The aim of this paper is to provide an expansion of Abe–Nakaoka's heart construction to the
following two different realizations of the module category over the endomorphism ring of a …

Nakaoka-Ogawa-Sakai considered the localization of an extriangulated category. This
construction unified the Serre quotient of abelian categories and the Verdier quotient of …

The notion of extriangulated category was introduced by Nakaoka and Palu giving a
simultaneous generalization of exact categories and triangulated categories. Our first aim is …

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 …

The aim of this paper is to develop a framework for localization theory of triangulated
categories $\mathcal {C} $, that is, from a given extension-closed subcategory $\mathcal {N} …

In this article, we show that the localization of an extriangulated category by a multiplicative
system satisfying mild assumptions can be equipped with a natural, universal structure of an …

The notion of quotient and localization of abelian categories by dense subcategories (ie,
Serre classes) was introduced by Gabriel, and plays an important role in ring theory [6, 131 …

The Karoubi envelope and weak idempotent completion of an extriangulated category | Applied
Categorical Structures Skip to main content SpringerLink Account Menu Find a journal Publish …

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 …

In the preceding part (I) of this paper, we showed that for any torsion pair (ie, t-structure
without the shift-closedness) in a triangulated category, there is an associated abelian …