[PDF][PDF] Strongly Gorenstein projective, injective and flat modules
Y Xiaoyan, L Zhongkui - Journal of Algebra, 2008 - researchgate.net
Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …
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 …
[PDF][PDF] On GI-flat modules and dimensions
Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
Gorenstein modules and dualizing modules
Y Li - Communications in Algebra, 2015 - Taylor & Francis
Full article: Gorenstein Modules and Dualizing Modules Skip to Main Content Taylor and Francis
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Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Gorenstein projective dimensions of complexes
ZK Liu, CX Zhang - Acta Mathematica Sinica, English Series, 2011 - Springer
We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein homological dimensions of modules over triangular matrix rings
R Zhu, Z Liu, Z Wang - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Abstract Let $ A $ and $ B $ be rings, $ U $ a $(B, A) $-bimodule, and $ T=\left (\begin
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …
Relative Gorenstein dimensions over triangular matrix rings
Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …
Some conditions for the existence of Gorenstein projective covers and preenvelopes
B Yu - Journal of Algebra and Its Applications, 2016 - World Scientific
In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …
Gorenstein projective. Some examples of such rings are given. We show that over such …
STRONGLY GORENSTEIN C-HOMOLOGICAL MODULES UNDER CHANGE OF RINGS
Y Liu, C Zhang - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
STRONGLY GORENSTEIN C-HOMOLOGICAL MODULES UNDER CHANGE OF RINGS 1.
Introduction Unless stated otherwise, throughout this paper R Page 1 Bull. Korean Math. Soc …
Introduction Unless stated otherwise, throughout this paper R Page 1 Bull. Korean Math. Soc …
Strongly -Gorenstein projective, injective and flat modules
N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …
define and study a particular case of modules with Gorenstein projective, injective, and flat …