Recollements of extriangulated categories
L Wang, J Wei, H Zhang - arXiv preprint arXiv:2012.03258, 2020 - arxiv.org
We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …
triangulated categories, which we call recollements of extriangulated categories. For a …
Cotorsion pairs in a recollement of triangulated categories
J Chen - Communications in Algebra, 2013 - Taylor & Francis
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 …
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …
Recollements arising from cotorsion pairs on extriangulated categories
Y Hu, P Zhou - Frontiers of Mathematics in China, 2021 - Springer
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 …
concentric twin cotorsion pairs on an extriangulated category. As an application, this result …
Torsion pairs and recollements of extriangulated categories
J He, Y Hu, P Zhou - Communications in Algebra, 2022 - Taylor & Francis
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 …
torsion pairs in A and C can induce torsion pairs in B, and the converse holds under natural …
Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory
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 …
extriangulated categories which extend the given ones for abelian categories. Although …
Auslander-Buchweitz approximation theory for extriangulated categories
Y Ma, N Ding, Y Zhang - arXiv preprint arXiv:2006.05112, 2020 - arxiv.org
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous
generalization of exact categories and triangulated categories. In this paper, we introduce …
generalization of exact categories and triangulated categories. In this paper, we introduce …
Hereditary cotorsion pairs on extriangulated subcategories
Y Liu, P Zhou - arXiv preprint arXiv:2012.06997, 2020 - arxiv.org
Let $\mathcal B $ be an extriangulated category with enough projectives and enough
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …
Recollement of additive quotient categories
M Wang, Z Lin - arXiv preprint arXiv:1502.00479, 2015 - arxiv.org
arXiv:1502.00479v1 [math.RT] 2 Feb 2015 Page 1 arXiv:1502.00479v1 [math.RT] 2 Feb 2015
RECOLLEMENT OF ADDITIVE QUOTIENT CATEGORIES MINXIONG WANG AND …
RECOLLEMENT OF ADDITIVE QUOTIENT CATEGORIES MINXIONG WANG AND …
Torsion pairs in recollements of abelian categories
X Ma, Z Huang - Frontiers of Mathematics in China, 2018 - Springer
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 …
875–892 https://doi.org/10.1007/s11464-018-0712-1 Torsion pairs in recollements of abelian …
Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories
H Nakaoka, Y Palu - arXiv preprint arXiv:1605.05607, 2016 - arxiv.org
We give a simultaneous generalization of exact categories and triangulated categories,
which is suitable for considering cotorsion pairs, and which we call extriangulated …
which is suitable for considering cotorsion pairs, and which we call extriangulated …