X-Gorenstein projective and Y-Gorenstein injective modules
F Meng, Q Pan - Hacettepe Journal of Mathematics and Statistics, 2011 - dergipark.org.tr
… on Gorenstein modules remain true for XGorenstein projective right R-modules, Y-Gorenstein
injective right R-modules … with XGorenstein projective modules and Y-Gorenstein injective …
injective right R-modules … with XGorenstein projective modules and Y-Gorenstein injective …
On Gorenstein injective modules
EE Enochs, OMG Jenda - Communications in Algebra, 1993 - Taylor & Francis
… if ~xt'(E, M ) = 0 for all injective R-modules E for all i 2 1. We note that every Gorenstein
injective module is clearly strongly copure injective. We prove in Section 3 that if R is a local …
injective module is clearly strongly copure injective. We prove in Section 3 that if R is a local …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
… The way we define Gorenstein injective modules can be dualized, and so we can define
Gorenstein projective modules (ie modules of G-dimension 0) whether the modules are finitely …
Gorenstein projective modules (ie modules of G-dimension 0) whether the modules are finitely …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
… n-STRONGLY GORENSTEIN PROJECTIVE AND INJECTIVE MODULES … -strongly Gorenstein
projective modules. All the dual results hold for the n-strongly Gorenstein injective modules…
projective modules. All the dual results hold for the n-strongly Gorenstein injective modules…
W-Gorenstein modules
Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
… an injective left S-module}, and we simply call them CGorenstein projective and C-Gorenstein
injective modules … S Q an injective cogenerator. We also prove that the subcategories of C-…
injective modules … S Q an injective cogenerator. We also prove that the subcategories of C-…
Gorenstein gr-injective and gr-projective modules
MJ Asensio, JAL Ramos… - Communications in …, 1998 - Taylor & Francis
… 3 we define Gorenstein gr-injective modules and characterize them in terms its complete
gr-injective resolution. We give two different ways to const,ruct Gorenstein gr-injective modules. …
gr-injective resolution. We give two different ways to const,ruct Gorenstein gr-injective modules. …
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
… Gorenstein projective dimension agrees with the G–dimension. Gorenstein flat and injective
modules … Before describing the criteria for finiteness of Gorenstein projective, injective and …
modules … Before describing the criteria for finiteness of Gorenstein projective, injective and …
Gorenstein injective modules and local cohomology
R Sazeedeh - Proceedings of the American Mathematical Society, 2004 - ams.org
… by Gorenstein injective modules. Also we prove that if R is d-Gorenstein, M is a Gorenstein
injective … We strongly believe that over Gorenstein rings, Gorenstein injective modules behave …
injective … We strongly believe that over Gorenstein rings, Gorenstein injective modules behave …
Generalized Gorenstein modules
A Iacob - Algebra Colloquium, 2022 - World Scientific
… injective modules that stay exact when we apply a functor Hom(A, −) for any absolutely clean
module A; the Gorenstein AC-projective modules … the Gorenstein FPn-injective modules to …
module A; the Gorenstein AC-projective modules … the Gorenstein FPn-injective modules to …
Coherent rings and Gorenstein FP-injective modules
Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
… of FP-injective module to that of Gorenstein FP-injective module.” … of Gorenstein FP-injective
modules and investigate self-FP-injective coherent rings in terms of Gorenstein FP-injective …
modules and investigate self-FP-injective coherent rings in terms of Gorenstein FP-injective …
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