Model structures and recollements induced by duality pairs
W Chen, L Li, Y Rao - arXiv preprint arXiv:2108.00140, 2021 - arxiv.org
We give some equivalent characterizations of $\mathcal {GP} $, the class of Gorenstein
$(\mathcal {L},\mathcal {A}) $-projective modules, and construct some model structures …
$(\mathcal {L},\mathcal {A}) $-projective modules, and construct some model structures …
Model structures, recollements and duality pairs
W Chen, Z Liu - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we construct some model structures corresponding Gorenstein (ℒ, 𝒜)-modules
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …
-Strongly Gorenstein Projective, Injective and Flat modules
G Zhao, Z Huang - arXiv preprint arXiv:0904.3045, 2009 - arxiv.org
In this paper, we study the relation between $ m $-strongly Gorenstein projective (resp.
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …
Gorenstein and duality pair over triangular matrix rings
H Liu, R Zhu - arXiv preprint arXiv:2202.13148, 2022 - arxiv.org
Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M\\0 & B\\\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …
[引用][C] Generalized Gorenstein modules with respect to duality pairs over triangular matrix rings
R Zhu, H Liu - International Journal of Algebra and Computation, 2024 - World Scientific
Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair 𝒟 T over T using duality pairs over A and B, respectively. Then we …
complete duality pair 𝒟 T over T using duality pairs over A and B, respectively. Then we …
Gorenstein derived functors from special rings to arbitrary rings
T Zhao - arXiv preprint arXiv:1405.3375, 2014 - arxiv.org
arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
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 …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
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 with respect to duality pairs
Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …