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 …
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. …
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 …
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 …
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 modules … Gorenstein projective and
Gorenstein flat modules is not well understood. For example, projective modules are always flat…
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 …
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 …
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-…
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 …
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 …
[2, Theorem 5.3.2] in the non-modular … Λ(V ))G is generically Gorenstein, provided G has no …