Special precovering classes in comma categories
J Hu, H Zhu - Science China Mathematics, 2022 - Springer
Let T be a right exact functor from an abelian category ℬ into another abelian category A.
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …
Special precovered categories of Gorenstein categories
T Zhao, Z Huang - Science China Mathematics, 2019 - Springer
Let A be an abelian category and P (A) be the subcategory of A consisting of projective
objects. Let C be a full, additive and self-orthogonal subcategory of A with P (A) a generator …
objects. Let C be a full, additive and self-orthogonal subcategory of A with P (A) a generator …
Recollements of abelian categories and special types of comma categories
Q Chen, M Zheng - Journal of Algebra, 2009 - Elsevier
In this paper, we first study conditions under which a recollement relative to abelian
categories induces a new recollement relative to abelian categories and comma categories …
categories induces a new recollement relative to abelian categories and comma categories …
[HTML][HTML] Derived equivalences of functor categories
J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2019 - Elsevier
Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …
Using the notion of relative derived categories of functor categories, we generalize Rickard's …
Gorenstein projective objects in comma categories
Y Peng, R Zhu, Z Huang - Periodica Mathematica Hungarica, 2022 - Springer
Abstract Let AA and BB be abelian categories and F: A → BF: A→ B an additive and right
exact functor which is perfect, and let (F, B)(F, B) be the left comma category. We give an …
exact functor which is perfect, and let (F, B)(F, B) be the left comma category. We give an …
$\V\W $-Gorenstein categories
G Zhao, J Sun - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Let $\A $ be an abelian category, and $\V $, $\W $ two additive full subcategories of $\A $.
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …
The tensor product of Gorenstein-projective modules over category algebras
R Wang - Communications in Algebra, 2018 - Taylor & Francis
Full article: The tensor product of Gorenstein-projective modules over category algebras Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …
Higher differential objects in additive categories
X Tang, Z Huang - Journal of Algebra, 2020 - Elsevier
Given an additive category C and an integer n⩾ 2. We form a new additive category C [ϵ] n
consisting of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. First …
consisting of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. First …
Recollements of stable categories of Gorenstein injective modules
Z Wang, T Mu, X Wang - Journal of Algebra and Its Applications, 2021 - World Scientific
Let A and B be rings, U a (B, A)-bimodule and T= A 0 UB be a triangular matrix ring. We first
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …
Galois G-covering of quotients of linear categories
Y Hu, P Zhou - Journal of Pure and Applied Algebra, 2023 - Elsevier
In this paper, we introduce the notion of G-liftable ideals, which extends the liftable ideas
defined by Assem and Le Meur. We characterize the G-liftable ideals and construct the …
defined by Assem and Le Meur. We characterize the G-liftable ideals and construct the …