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 …
Grade and Gorenstein dimension
S Yassemi, L Khatami, T Sharif - 2001 - Taylor & Francis
Let R be a commutative Noetherian ring and let M be a finite (that is, finitely generated) R-
module. The notion grade of M, grade M, has been introduced by Rees as the least integer …
module. The notion grade of M, grade M, has been introduced by Rees as the least integer …
FP-injective dimensions and Gorenstein homology
G Yang, J Wang - Proceedings of the Edinburgh Mathematical …, 2022 - cambridge.org
Let $ R $ be a left coherent ring. It is proven that if an $ R $-module $ M $ has a finite FP-
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …
Gorenstein Analogue of Auslander's Theorem on the Global Dimension
D Bennis, K Hu, F Wang - Communications in Algebra, 2015 - Taylor & Francis
In this paper, we prove that the Gorenstein analogue of the well-known Auslander's theorem
on the global dimension holds true. Namely, we prove that the Gorenstein global dimension …
on the global dimension holds true. Namely, we prove that the Gorenstein global dimension …
Gorenstein projective and injective dimensions over Frobenius extensions
W Ren - Communications in Algebra, 2018 - Taylor & Francis
ABSTRACT Let R⊂ A be a Frobenius extension of rings. We prove that:(1) for any left A-
module M, AM is Gorenstein projective (injective) if and only if the underlying left R-module …
module M, AM is Gorenstein projective (injective) if and only if the underlying left R-module …
[引用][C] Gorenstein -flat dimension of complexes and relative singularity categories
W Chen - Journal of Algebra and Its Applications, 2023 - World Scientific
Assume that the class of all Gorenstein (ℒ, 𝒜)-flat modules is closed under extensions. We
define a notion of Gorenstein (ℒ, 𝒜)-flat dimension for complexes and consider equivalent …
define a notion of Gorenstein (ℒ, 𝒜)-flat dimension for complexes and consider equivalent …
Gorenstein injective and Gorenstein flat dimensions under base change
L Khatami, S Yassemi - Communications in Algebra, 2003 - Taylor & Francis
Full article: Gorenstein Injective and Gorenstein Flat Dimensions Under Base Change Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
On the Gorenstein dimensions over local homomorphisms
L Liang, D Wu - Communications in Algebra, 2019 - Taylor & Francis
In this paper, we further study Gorenstein dimension over local homomorphisms developed
by Iyengar and Sather-Wagstaff. For a local homomorphism φ: R→ S and a homologically …
by Iyengar and Sather-Wagstaff. For a local homomorphism φ: R→ S and a homologically …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
Modules of the highest homological dimension over a Gorenstein ring
Y Iwanaga, J Miyachi - CONTEMPORARY MATHEMATICS, 1998 - books.google.com
We will study modules of the highest injective, projective and flat dimension over a
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …