… singular compactness theorem which makes it possible to show that being a \(\Sigma \)-cotorsion
module is a property of the complete theory of the module. … of Gorenstein flat modules …

… Using the analogous approximations of Gorenstein flat modules by PGF-modules and flat
modules, that were obtained by Saroch and Stovicek in [26], we describe a similar Hovey triple …

… are the cycles of exact complexes of injective modules that stay exact when we … module A;
the Gorenstein AC-projective modules are the cycles of exact complexes of projective modules …

… We consider when the relative Gorenstein modules with respect to such a duality pair
coincide with the classical homological modules. As applications, we characterize (weak) global …

… modules ( D P ) . We show that P G F = D P if and only if every Ding projective module is
Gorenstein flat. … We also show that P G F = D P over any ring R of finite weak Gorenstein global …

… are special precovering, among them including the Gorenstein … Gorenstein flat PGF(R)
fulfils the same feature. We also introduce a new class of Gorenstein projective R-modules …

… Gorenstein homological algebra to any given semi-complete duality pair D = (L ,A ). This
generalizes the homological theory of the AC-Gorenstein modules … Ding injective modules are …

… It is not clear whether a Gorenstein projective module is Gorenstein flat. But PGF modules
provide a common refinement of Gorenstein projective modules and Gorenstein flat modules: …

… of all 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… Singular compactness and …

… struct a semi-complete duality pair DT of T-modules using duality pairs in A-Mod and B-Mod …
a left T-module is Gorenstein DT -projective, Gorenstein DT -injective or Gorenstein DT -flat. …