Duality pairs, generalized Gorenstein modules, and Ding injective envelopes
J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
Let R be a general ring. Duality pairs of R-modules were introduced by Holm-Jørgensen.
Most examples satisfy further properties making them what we call semi-complete duality …
Most examples satisfy further properties making them what we call semi-complete duality …
Some Remarks on Gorenstein Projective Precovers
V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …
Gorenstein projective $ R $-modules are special precovering, among them including the …
Gorenstein -flat modules and weak global dimensions
V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …
Intersection of complete cotorsion pairs
Q Wang, H Zhu - arXiv preprint arXiv:2408.01922, 2024 - arxiv.org
Given two (hereditary) complete cotorsion pairs $(\mathcal {X} _1,\mathcal {Y} _1) $ and
$(\mathcal {X} _2,\mathcal {Y} _2) $ in an exact category with $\mathcal {X} …
$(\mathcal {X} _2,\mathcal {Y} _2) $ in an exact category with $\mathcal {X} …
On the Triviality of Gorenstein -Modules
X Wang - Bulletin of the Iranian Mathematical Society, 2024 - Springer
Let (L, A) be a bi-complete duality pair. We consider when the relative Gorenstein modules
with respect to such a duality pair coincide with the classical homological modules. As …
with respect to such a duality pair coincide with the classical homological modules. As …
[PDF][PDF] GORENSTEIN FPn-FLAT MODULES AND WEAK GLOBAL DIMENSIONS
V BECERRIL - arXiv preprint arXiv:2303.12955, 2023 - researchgate.net
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein Y-flat modules recently studied by S. Estrada, A. Iacob, and MA …
generalized Gorenstein Y-flat modules recently studied by S. Estrada, A. Iacob, and MA …
Weakly Ding injective modules and complexes
A Iacob - Communications in Algebra, 2023 - Taylor & Francis
We consider two classes of modules over coherent rings: the Gorenstein FP-injective
modules, and the weakly Ding injective modules. The Gorenstein FP-injective modules are …
modules, and the weakly Ding injective modules. The Gorenstein FP-injective modules are …