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 …

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

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 …

In this article, we prove that if (A, B, C) is a recollement of extriangulated categories, then
torsion pairs in A and C can induce torsion pairs in B, and the converse holds under natural …

This paper is devoted to constructing some recollements of additive categories associated to
concentric twin cotorsion pairs on an extriangulated category. As an application, this result …

Torsion pairs in recollements of abelian categories Page 1 Front. Math. China 2018, 13(4):
875–892 https://doi.org/10.1007/s11464-018-0712-1 Torsion pairs in recollements of abelian …

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

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

In this article, we study the heart of a cotorsion pairs on an exact category and a triangulated
category in a unified method, by means of the notion of an extriangulated category. We …

Based on Beligiannis's theory in [Beligiannis, A.(2000). Relative homological algebra and
purity in triangulated categories. J. Algebra 227 (1): 268–361], we introduce and study E …