Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… applying the functor I ⊗R __ for any injective right module I. … In order to present an application
of the notion of PGF-… injective lengths of projective modules and the projective lengths of …
of the notion of PGF-… injective lengths of projective modules and the projective lengths of …
On Gorenstein Projective Dimensions of Unbounded Complexes
Z Liu, Z Wang - Chinese Annals of Mathematics, Series B, 2020 - Springer
… attention to Gorenstein injective and Gorenstein flat dimensions of complexes. For Gorenstein
projective dimensions, it was shown in [21] that if φ : R → S is faithfully flat and module-…
projective dimensions, it was shown in [21] that if φ : R → S is faithfully flat and module-…
Finiteness criteria for Gorenstein flat dimension and stability
I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… applying the functor I ⊗ R _ _ for every injective module I, and hence they are Gorenstein
flat. The … An application of this stability result may be found in [Citation15, Proposition 2.15]. …
flat. The … An application of this stability result may be found in [Citation15, Proposition 2.15]. …
[PDF][PDF] Group Rings of Finite Gorenstein Homological Dimensions
X Yueming - 2023 - easychair.org
… Holm, On Gorenstein projective, injective and flat dimensions — A functorial description
with applications, J. Algebra, 302 (2004), 1: 231-279. [7] IG Connell, On the group ring, Canad. …
with applications, J. Algebra, 302 (2004), 1: 231-279. [7] IG Connell, On the group ring, Canad. …
Level and Gorenstein projective dimension
L Awadalla, T Marley - Journal of Algebra, 2022 - Elsevier
… critically on an application of the “… of Gorenstein projective resolutions are not necessarily
G -ghost. As a consequence, we are able to prove the following characterization of Gorenstein …
G -ghost. As a consequence, we are able to prove the following characterization of Gorenstein …
Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… We consider how this functor behaves when restricted to the class of Gorenstein … On
Gorenstein projective, injective and flat dimensions—a functorial description with applications. J. …
Gorenstein projective, injective and flat dimensions—a functorial description with applications. J. …
One-sided Gorenstein subcategories
W Song, T Zhao, Z Huang - Czechoslovak Mathematical Journal, 2020 - Springer
… of the categories of Gorenstein projective modules and Gorenstein injective modules, see […
Gorenstein projective, injective and flat dimensions—a functorial description with applications…
Gorenstein projective, injective and flat dimensions—a functorial description with applications…
Gorenstein projective modules and recollements over triangular matrix rings
H Li, Y Zheng, J Hu, H Zhu - Communications in Algebra, 2020 - Taylor & Francis
… As applications, we obtain recollements of the stable … is an injective R-morphism with a
Gorenstein projective cokernel. … On the other hand, if we consider the restriction functor (see […
Gorenstein projective cokernel. … On the other hand, if we consider the restriction functor (see […
Homological dimensions, the Gorenstein property, and special cases of some conjectures
… First, we provide general criteria for the finiteness of the projective and injective dimensions
… Finally, we give applications, including characterizations of when $R$ is Gorenstein (and …
… Finally, we give applications, including characterizations of when $R$ is Gorenstein (and …
FP-injective dimensions and Gorenstein homology
G Yang, J Wang - Proceedings of the Edinburgh Mathematical …, 2022 - cambridge.org
… application of Theorem C, in § 4 we characterize Gorenstein … the class of Gorenstein projective,
and Gorenstein flat modules, … exact after applying the functor I ⊗R − for every injective Ro …
and Gorenstein flat modules, … exact after applying the functor I ⊗R − for every injective Ro …