Purity and ascent for Gorenstein flat cotorsion modules

I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
Gorenstein flat modules over a right coherent rings, and give particular attention to the Frobenius
category of Gorenstein flat and cotorsion modules … for Gorenstein flat modules and pure …

On stability of Gorenstein categories

A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
Gorenstein projective modules over a ring R yields exactly the Gorenstein projective modules
Specifically, given an exact sequence of Gorenstein projective left R-modules G = … → G 1 …

Ω-Gorenstein projective, injective and flat modules

X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
… The class G0(R) contains all modules of finite projective dimension and all Gorenstein
projective modules while J0(R) contains all modules of finite injective dimension and all …

A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
projective module is flat, and each module has a projectiveGorenstein projective module
is Gorenstein flat, and we also do not know whether each module has a Gorenstein projective

The rings in which all super finitely presented modules are Gorenstein projective

S Xing, F Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
… generated submodule of a projective R-module is Gorenstein projective. Bennis proves in
[1… Gorenstein flat module is Gorenstein projective. Recently, the weak injective modules were …

On Gorenstein Projective Dimensions of Unbounded Complexes

Z Liu, Z Wang - Chinese Annals of Mathematics, Series B, 2020 - Springer
… In the following example, we do not know whether or not all Gorenstein projective T-modules
are Gorenstein flat. Thus Theorem 3.1 is not implied by the result of [16, Theorem 15]. …

Stability of Gorenstein flat categories with respect to a semidualizing module

Z Di, Z Liu, J Chen - 2015 - projecteuclid.org
… of the classes of Gorenstein projective and Gorenstein injective modules, denoted by G(P) …
the notions of the WP -Gorenstein and the WI-Gorenstein modules. In particular, they obtained …

Gorenstein projective, injective and flat modules

Z Liu, X Yang - Journal of the Australian Mathematical Society, 2009 - cambridge.org
Gorenstein projective, injective and flat modules and we also discuss connections between
Gorenstein injective and flat modulesGorenstein projective, injective and flat modules under …

[PDF][PDF] Applications of n-Gorenstein projective and injective modules

X Tang - Hacettepe Journal of Mathematics and Statistics, 2015 - dergipark.org.tr
… rings in terms of top local cohomology modules of flat modules. We also utilize the n-Gorenstein
Furthermore, we prove that a nonzero finite module with finite n-Gorenstein projective

Local homology and Gorenstein flat modules

FMA Mashhad, K Divaani-Aazar - Journal of Algebra and Its …, 2012 - World Scientific
… stein injective modules and local cohomology modules was started by Sazeedeh [13]. Here,
Gorenstein flat modules and local homology modules. The notion of Gorenstein flat modules