Strongly Gorenstein projective, injective and flat modules
X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
… Gorenstein injective, Gorenstein flat) module is a direct summand of a strongly Gorenstein
projective (resp. strongly Gorenstein injective, strongly Gorenstein flat) module. In this paper …
projective (resp. strongly Gorenstein injective, strongly Gorenstein flat) module. In this paper …
[HTML][HTML] Strongly Gorenstein projective, injective, and flat modules
D Bennis, N Mahdou - Journal of Pure and Applied Algebra, 2007 - Elsevier
… the Gorenstein projective, injective, and flat modules … Gorenstein projective and Gorenstein
flat modules is (nearly) similar to the one between the classical projective and flat modules (…
flat modules is (nearly) similar to the one between the classical projective and flat modules (…
Strongly Gorenstein flat modules
N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
… Gorenstein flat module is Gorenstein projective, but we have not been able to find examples
of Gorenstein projective modules which are not strongly Gorenstein flat. If one can find a …
of Gorenstein projective modules which are not strongly Gorenstein flat. If one can find a …
Gorenstein projective precovers
S Estrada, A Iacob, K Yeomans - Mediterranean Journal of Mathematics, 2017 - Springer
… over these rings every Gorenstein flat module has finite Gorenstein projective dimension. We
… the condition that GpdG < ∞ for any Gorenstein flat module G. It uses the following lemma: …
… the condition that GpdG < ∞ for any Gorenstein flat module G. It uses the following lemma: …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
… M ⊕ H for any flat module H. We also investigate the relation between n-strongly Gorenstein
flat modules and n-strongly Gorenstein projective (resp., injective) modules. We prove that a …
flat modules and n-strongly Gorenstein projective (resp., injective) modules. We prove that a …
On Gorenstein projective, injective and flat dimensions-a functorial description with applications
LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
… conjectured characterization of modules of finite Gorenstein dimensions in terms … modules;
see [49]. Before describing the criteria for finiteness of Gorenstein projective, injective and flat …
see [49]. Before describing the criteria for finiteness of Gorenstein projective, injective and flat …
Weak Gorenstein projective, injective and flat modules
Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
… between weak Gorenstein injective and weak Gorenstein flat modules. … weak Gorenstein
injective and flat modules, and characterize FC rings in terms of weak Gorenstein flat modules. …
injective and flat modules, and characterize FC rings in terms of weak Gorenstein flat modules. …
Stability of Gorenstein flat modules
S Bouchiba, M Khaloui - Glasgow Mathematical Journal, 2012 - cambridge.org
… and injective modules, the elementary entities on which the … Gorenstein projective and
the Gorenstein injective modules. Recall that an R-module M is said to be Gorenstein flat (G-flat …
the Gorenstein injective modules. Recall that an R-module M is said to be Gorenstein flat (G-flat …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
… (R) has a Gorenstein flat cover. Below we argue that the class of Gorenstein flat modules is
closed … 207, [6] or [12]) it will suffice to show that every module in G0(R) has a Gorenstein flat …
closed … 207, [6] or [12]) it will suffice to show that every module in G0(R) has a Gorenstein flat …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… case of modules of finite Gorenstein projective dimension. In … category of PGF-modules
modulo projective modules, as the … of Gorenstein flat modules by PGF-modules and flat modules, …
modulo projective modules, as the … of Gorenstein flat modules by PGF-modules and flat modules, …
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