… 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 …

… 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. …

… (P, Q) is also exact for any projective module Q. In general, such complexes are called totally
… the modules appearing as a cycle ZnP of such a complex are called Gorenstein projective. …

… with any injective module. We use G F to denote the class of Gorenstein flat modules. It is …
certain classes of rings any Gorenstein projective module is also Gorenstein flat. For example, …

… modules. One considers the Gorenstein projective dimensions of modules and complexes,
the existence of proper Gorenstein projective resolutions, the Gorenstein derived functors, the …

… Gorenstein projective modules and C-Gorenstein projective modules, we define the TC -Gorenstein
projective modules… the LC-Gorenstein injective and HC-Gorenstein flat modules. And …

… 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 …

… of these modules. As consequences, we show that a module M has Gorenstein projective …
-SG-projective for some Gorenstein projective module G. And, over rings of finite left finitistic …