[HTML][HTML] Gorenstein-projective modules and symmetric recollements
P Zhang - Journal of Algebra, 2013 - Elsevier
We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …
N-recollements and Virtually Gorenstein Algebras
D Shen, H Su - arXiv preprint arXiv:2302.06977, 2023 - arxiv.org
The relation between the $ n $-recollements of stable categories of Gorenstein projective
modules and the virtual Gorensteinness of algebras are investigated. Let $ A, B $, and $ C …
modules and the virtual Gorensteinness of algebras are investigated. Let $ A, B $, and $ C …
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 …
Stability of Gorenstein objects in triangulated categories
Z Wang, C Liang - arXiv preprint arXiv:1409.7274, 2014 - arxiv.org
Let $\mathcal {C} $ be a triangulated category with a proper class $\xi $ of triangles.
Asadollahi and Salarian introduced and studied $\xi $-Gorenstein projective and $\xi …
Asadollahi and Salarian introduced and studied $\xi $-Gorenstein projective and $\xi …
Gorenstein flat modules relative to injectively resolving subcategories
Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …
Gorenstein flat modules as a common generalization of some known modules such as …
Ascent and descent of Gorenstein homological properties
J Liu, W Ren - arXiv preprint arXiv:2309.02372, 2023 - arxiv.org
Let $\varphi\colon R\rightarrow A $ be a ring homomorphism, where $ R $ is a commutative
noetherian ring and $ A $ is a finite $ R $-algebra. We give criteria for detecting the ascent …
noetherian ring and $ A $ is a finite $ R $-algebra. We give criteria for detecting the ascent …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
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 …
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 …
Relative singularity categories with respect to Gorenstein flat modules
ZX Di, ZK Liu, XX Zhang - Acta Mathematica Sinica, English Series, 2017 - Springer
Let R be a right coherent ring and D b (R-Mod) the bounded derived category of left R-
modules. Denote by D^ b\left (R-Mod\right) _\left GF, C\right D b (R− M od) GF, C^ the …
modules. Denote by D^ b\left (R-Mod\right) _\left GF, C\right D b (R− M od) GF, C^ the …