… 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 …

… 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 (…

… 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 …

… 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 …

… 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 …

… 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: …

… 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. …

… 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 …

… (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 …

… 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, …