Gorenstein objects in the category of -complexes
B Lu - Journal of Algebra and Its Applications, 2021 - World Scientific
For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …
On the stability question of Gorenstein categories
D Bennis, JR García Rozas, L Oyonarte - Applied Categorical Structures, 2017 - Springer
In this paper we are interested in studying the stability question of subcategories of an
abelian category 𝒜 A constituted of all objects that admit (proper) coproper resolutions …
abelian category 𝒜 A constituted of all objects that admit (proper) coproper resolutions …
(𝒲,𝒴,𝒳)-Gorenstein complexes
R Zhao, N Ding - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT Let 𝒲, 𝒴, 𝒳 be three classes of left R-modules. In this paper, we introduce and
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …
[HTML][HTML] Stability of Gorenstein modules with respect to a semidualizing module
Z WANG, S GUO - 数学杂志, 2017 - sxzz.whu.edu.cn
This paper mainly study the stability of Gorenstein modules with respect to a semidualizing
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …
强Gorenstein C-平坦模
李金兰， 梁春丽 - 山东大学学报(理学版), 2017 - lxbwk.njournal.sdu.edu.cn
作为强Gorenstein 平坦模的推广ꎬ 引入了相对于半对偶化模C 的强Gorenstein 平坦模ꎬ
即强GorensteinC-平坦模ꎬ 并给出了其若干性质和等价刻画ꎬ 比如强Gorenstein C …
即强GorensteinC-平坦模ꎬ 并给出了其若干性质和等价刻画ꎬ 比如强Gorenstein C …
GC-投射模类的稳定性
张亚峰， 张文汇 - 山东大学学报(理学版), 2014 - lxbwk.njournal.sdu.edu.cn
G -投射模类的稳定性 Page 1 第49卷第10期 Vol.49 No.10 山东大学学报(理学版)
JournalofShandongUniversity(NaturalScience) 2014年10月 Oct.2014 收稿日期:2014-02-28;网络 …
JournalofShandongUniversity(NaturalScience) 2014年10月 Oct.2014 收稿日期:2014-02-28;网络 …
-Gorenstein complexes
R Zhao, W Ren - Turkish Journal of Mathematics, 2017 - journals.tubitak.gov.tr
Abstract Let $\mathcal {V, W} $ be two classes of modules. In this paper, we introduce and
study $\mathcal {VW} $-Gorenstein complexes as a common generalization of $\mathcal {W} …
study $\mathcal {VW} $-Gorenstein complexes as a common generalization of $\mathcal {W} …
[PDF][PDF] On Gorenstein weak injective modules
T ZHAO, Y XU - arXiv preprint arXiv:1405.0648, 2014 - Citeseer
In this paper, we introduce the notion of Gorenstein weak injective modules in terms of weak
injective modules and characterize rings over which all modules are Gorenstein weak …
injective modules and characterize rings over which all modules are Gorenstein weak …
Resolutions and Stability of Gorenstein Classes of Modules
Z Wang - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …
Gorenstein projective complexes with respect to cotorsion pairs
R Zhao, P Ma - Czechoslovak Mathematical Journal, 2019 - Springer
Let (A, B) be a complete and hereditary cotorsion pair in the category of left R-modules. In
this paper, the so-called Gorenstein projective complexes with respect to the cotorsion pair …
this paper, the so-called Gorenstein projective complexes with respect to the cotorsion pair …