… of FI-injective and FI-flat modules introduced by L. Mao and N. Ding. … of FI-injective and
FI-flat. Hence, we introduce the notions of (strongly) w-FI-flat and (strongly) w-FI-injective modules…

… SFI-injective (resp., SFI-flat) modules which is a general class of FI-injective (resp., FI-flat) …
that if a module M is SFI-injective, then M is a direct sum of injective and an FI-injective module. …

… These modules are called n-IFP-flat (see … -injective modules as a generalization of IFP-injective
modules. Also, it is known that a ring R is left Noetherian if and only if every left R-module …

… of FI-flat modules contains the class of projective modules, f is … Let F be a FI-flat module,
applying the long exact sequence … class of FI-flat modules and the relation between FI-flat cover …

… These modules are called n-IFP-flat (see … -injective modules as a generalization of IFP-injective
modules. Also, it is known that a ring R is left Noetherian if and only if every left R-module …

… modules are finitely presented, we prove that a left R-module … each simple right R-module
S; a right R-module M is neatflat … -module is absolutely s-pure if and only if every left R-module …

… To refer to an element in Mod(R) we will say simply R-module, while for a right R-module we
will say Rop-module and we denote this last category by Mod(Rop). For short we will write P…

… modules and call them strongly copure projective modules in … of strongly copure projective
modules and the existence of … all Fi flat, and for any injective complex E of right R-modules, …

… In this section We also introduce C-FI-flat C-FI-injective and GC-FI-flat modules and … module
as well as the relation between the GC-FI-flat resolution and the FI-flat resolution of a module …

… D3-modules (or C3-modules) and … R-module has a D3-cover (D3-envelope). Moreover,
we can prove that a ring R is a right V -ring if and only if every finitely cogenerated right R-module …