… Let E be an injective left R-module. There is a free right R-module F and an epimorphism F
→ E+, which gives a monomorphism E++ → F+. Since F+ is S-projective and E ⊆ E++, E is a …

… module and any divisible torsion-free module is strongly flat. Since Q is a flat module (…
If we remove the assumption of flatness from conditions (i)-(v), then the result still holds true, …

… If we remove the assumption of flatness from conditions (i)-(v), … have to prove that f-projectivity
implies coherence for any module … and are torsion-free, so by a classic result of Cartan and …

Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we discuss …

… generated right R-module embeds in a free module. n-GF rings are characterized by n-projective …
[14] Jones, MF Flatness and f-projectivity of torsion free modules and injective modules, …

… rings using character modules of CFP-injective modules. We end this paper by characterizing
those Π-coherent rings satisfying that an module M is C-FP-injective if and only if M …