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 Gorenstein Projective and Gorenstein Flat Modules

CG Smith - 2011 - digitalcommons.georgiasouthern …
… based on projective, injective, and flat modules, Gorenstein homological algebra is its relative
version that uses Gorenstein projective, Gorenstein injective, and Gorenstein flat modules. …

Frobenius functors and Gorenstein flat dimensions

J Hu, H Li, Y Geng, D Zhang - Communications in Algebra, 2020 - Taylor & Francis
… In Section 3, we study Frobenius bimodules and Gorenstein flat modules. In this section,
we prove that an R-module X is a Gorenstein flat (resp. Gorenstein projective) if and only if …

Strongly Gorenstein flat and Gorenstein FP-injective modules

C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
… homological properties of strongly Gorenstein flat modules over a general … Gorenstein flat
R-modules is projectively resolving, and for any module M with finite strongly Gorenstein flat

Projectively coresolved Gorenstein flat dimension of groups

DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
… The relative homological dimensions based on these modulesGorenstein projective and
Gorenstein flat modules is not well understood. For example, projective modules are always flat

[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
… an estimate of Gorenstein flat dimension of a left T-module with … relative to these generalized
Gorenstein modules. … module is projectively coresolved Gorenstein flat, Ding injective or …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
… , among them including the Gorenstein projectives and Ding … Gorenstein flat PGF(R) fulfils
the same feature. We also introduce a new class of Gorenstein projective R-modules relative

Stability of Gorenstein categories

S Sather-Wagstaff, T Sharif… - Journal of the London …, 2008 - Wiley Online Library
… the Gorenstein projective modules over a commutative ring R yields exactly the Gorenstein
projective modules… The category of flat cotorsion R-modules is the subcategory F (R) of flat R-…

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
… R-module has a flat precover. We show in the paper that every R-module has a Gorenstein
flat … In this paper, we prove that the class of Gorenstein flat R-modules is a precovering class …

On the Gorenstein property for modular invariants

A Braun - Journal of Algebra, 2011 - Elsevier
Gorenstein in a rather strong sense (provided it is Cohen– Macaulay). This already improves
[2, Theorem 5.3.2] in the non-modular … Λ(V ))G is generically Gorenstein, provided G has no …