Recollements and -cotorsion pairs
W Cao, J Wei, K Wu - arXiv preprint arXiv:2403.04220, 2024 - arxiv.org
In the present paper, we study the relationships of $ n $-cotorsion pairs among three abelian
categories in a recollement. Under certain conditions, we present an explicit construction of …
categories in a recollement. Under certain conditions, we present an explicit construction of …
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 …
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 …
-cotorsion pairs and recollements of extriangulated categories
J He, J He - arXiv preprint arXiv:2403.12673, 2024 - arxiv.org
In this article, we prove that if $(\mathcal A,\mathcal B,\mathcal C) $ is a recollement of
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …
Construct ideal cotorsion pairs by recollement of triangulated categories
Q Wang, H Zhu - arXiv preprint arXiv:2406.00417, 2024 - arxiv.org
Let $(\mathcal {T}',\mathcal {T},\mathcal {T}'') $ be a recollement of triangulated categories.
Two complete ideal cotorsion pairs in $\mathcal {T}'$ and $\mathcal {T}''$ can be induced by …
Two complete ideal cotorsion pairs in $\mathcal {T}'$ and $\mathcal {T}''$ can be induced by …
Dimensions and cotorsion pairs in recollements of extriangulated categories
X Ma, P Zhou - arXiv preprint arXiv:2310.11172, 2023 - arxiv.org
Let $(\mathcal A,\mathcal B,\mathcal C) $ be a recollement of extriangulated categories. In
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …
Cotorsion Pairs in
X Yang, T Cao - Algebra Colloquium, 2017 - World Scientific
Given a cotorsion pair (X, Y) in an abelian category A, we define cotorsion pairs (X˜ N, dg Y˜
N) and (dg X˜ N, Y˜ N) in the category CN (A) of N-complexes on A. We prove that if the …
N) and (dg X˜ N, Y˜ N) in the category CN (A) of N-complexes on A. We prove that if the …
Cotorsion Pairs in.
X Yang, T Cao - Algebra colloquium, 2017 - search.ebscohost.com
Given a cotorsion pair (,) in an abelian category, we define cotorsion pairs (, dg) and (dg,) in
the category< sub> N() of N-complexes on. We prove that if the cotorsion pair (,) is complete …
the category< sub> N() of N-complexes on. We prove that if the cotorsion pair (,) is complete …
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 …