… We also show that P G F = D P over any ring R of finite weak Gorenstein global dimension
(this condition is also sufficient, but not necessary). We prove that if the class of Ding …

… In this paper, we introduce and study the notions of Gorenstein n-weak injective and Gorenstein
n-weak flat modules by using the notion of special super finitely presented modules. On …

… )-Gorenstein projective modules and study its stability properties. As applications, we first get
two model structures related to Gorenstein flat modules … In Section 4, we first get a weak AB-…

… for arbitrary modules over a general ring. It has been shown that Gorenstein projective,
injective and flat modules share many nice properties of projective, injective and flat modules, …

… We say that a module G ∈ Mod(R) is Gorenstein projective if there is an exact complex of
projective modules P = ... … If R has finite left weak Gorenstein global dimension then DP = PGF. …

… Gorenstein projective modules over a ring R, then GP = (GProj, GProj⊥) is a cotorsion pair.
Moreover, GP is complete when all projective modules are λ-pure-injective … utilizes the Weak …

… with respect to F1 the class of modules of flat dimension at … of weak-injective module is
different from the notion of weak … of projective modules, injective modules and flat modules. …

… of the Gorenstein injective modules: the Gorenstein FP n -injective modules (denoted by GI
n ). They are the cycles of the exact complexes of injective modules that remain exact when …

… modules, and the absolutely clean and level modules are also called weak injective and weak
flat modules in [9… Recall that an R-module M is said to be Gorenstein AC-projective if there …

… and study (weak) pure-injective Gorenstein projective modules. … of weak pure-injective
Gorenstein projective left R-modules … of weak pure-injective Gorenstein projective left R-modules …