Homological dimensions relative to special subcategories
W Song, T Zhao, Z Huang - Algebra Colloquium, 2021 - World Scientific
Let A be an abelian category, C an additive, full and self-orthogonal subcategory of A closed
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …
Homological dimensions relative to preresolving subcategories II
Z Huang - Forum Mathematicum, 2022 - degruyter.com
Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …
One-sided Gorenstein subcategories
W Song, T Zhao, Z Huang - Czechoslovak Mathematical Journal, 2020 - Springer
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
[引用][C] Finiteness of relative Gorenstein homological dimensions
H Fan, X Tang - Journal of Algebra and Its Applications, 2023 - World Scientific
Let 𝒜 be an abelian category and (𝒳, 𝒴) a pair of classes of objects in 𝒜. Inspired by
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …
Gorenstein global dimensions relative to balanced pairs
L Haiyu, Z Rongmin, G Yuxian - Electronic Research Archive, 2020 - aimsciences.org
Let G (X) and G (Y) be Gorenstein subcategories induced by an admissible balanced pair
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …
The Right Gorenstein Subcategory
ZH Gao, W Wu - Acta Mathematica Sinica, English Series, 2023 - Springer
In this paper, we generalize the idea of Song, Zhao and Huang [Czechoslov. Math. J., 70,
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …
[HTML][HTML] On pure derived categories
Y Zheng, Z Huang - Journal of Algebra, 2016 - Elsevier
We investigate the properties of pure derived categories of module categories, and show
that pure derived categories share many nice properties of classical derived categories. In …
that pure derived categories share many nice properties of classical derived categories. In …
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 …
Gorenstein injective, projective, and flat dimensions over
EE Enochs, OMG Jenda - … , Algebra and Its Applications, March 22 …, 2000 - books.google.com
In this paper, we study Gorenstein injective, projective, and flat dimensions over a Cohen-
Macaulay local ring R admitting a dualizing module. In particular, we characterize these …
Macaulay local ring R admitting a dualizing module. In particular, we characterize these …
Relative global Gorenstein dimensions
V Becerril - Journal of Algebra and Its Applications, 2022 - World Scientific
Let 𝒜 be an abelian category. In this paper, we investigate the global (𝒳, 𝒴)-Gorenstein
projective dimension gl. GPD (𝒳, 𝒴)(𝒜), associated to a GP-admissible pair (𝒳, 𝒴). We give …
projective dimension gl. GPD (𝒳, 𝒴)(𝒜), associated to a GP-admissible pair (𝒳, 𝒴). We give …