On -Gorenstein projective dimensions and precovers

B Yu - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
… X -Gorenstein projective dimension of R by … generalization of [4, Theorems 4.1 and 4.2] and
many results in [14], it reveals that the left global X -Gorenstein projective dimension of a ring

[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
Gorenstein projective dimension. The second part of this paper deals with the PGF dimension
of modules and rings. … in [9] as a natural generalization of right coherent rings. They are …

Some results on Gorenstein (weak) global dimension of rings

W Li, L Yan, D Zhang - Communications in Algebra, 2023 - Taylor & Francis
… We say that M has Gorenstein projective dimension at most n, … Gorenstein projective. If there
is no such n, set Gpd R (M) = ∞ . … ” [Citation28, Theorem 4.3.3], and it is a generalization of […

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
… the size of the homological dimensions which are associated with rings and modules. In …
projective dimension of modules over a ring be?. To address this concern consider a ring R …

[HTML][HTML] Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras

V Bekkert, H Giraldo, JA Vélez-Marulanda - Journal of Pure and Applied …, 2020 - Elsevier
… is Gorenstein-projective then R ( Λ , V ) is also universal when the stable endomorphism ring
… Moreover, let P be a Λ-Λ-bimodule with finite projective dimension such that Y ⊗ Γ X ≅ Λ ⊕ …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
Gorenstein projective modules were introduced in 1995 [Citation5] by Enochs and Jenda,
as a generalization of Auslander’s modules of G-dimension … has projective dimension ≤ n . …

Relative global Gorenstein dimensions

V Becerril - Journal of Algebra and Its Applications, 2022 - World Scientific
dimension of the testing class (see [1, Definition 3.2]) and the global Gorenstein projective
dimension … a n-Gorenstein ring R the left global Ding projective dimension is characterized by …

On Gorenstein Projective Dimensions of Unbounded Complexes

Z Liu, Z Wang - Chinese Annals of Mathematics, Series B, 2020 - Springer
… to dealing with the relationships of the Gorenstein projective dimension of an R-complex X (…
a Noetherian ring of finite Krull dimension and φ : R → S is a faithfully flat ring homomorphism…

[引用][C] Finiteness of relative Gorenstein homological dimensions

H Fan, X Tang - Journal of Algebra and Its Applications, 2023 - World Scientific
… Inspired by Bouchiba’s work on generalized Gorenstein projective … , Y)-Gorenstein
projective dimension of M is less than or equal to n if and only if M is an (X, Y)-Gorenstein n-projective

Finitistic dimension conjectures via Gorenstein projective dimension

P Moradifar, J Šaroch - Journal of Algebra, 2022 - Elsevier
… of an algebra can alternatively be computed by Gorenstein projective dimension, we
examine in this work the Gorenstein … This result was further strengthened or generalized later: …