… by n-strongly FP-injective and n-strongly flat functors. In … of n-strongly FP-injective and n-strongly
flat functors. Secondly, we … basic homological properties of this two classes of functors. …

… The proof is quite elementary, using only a strong form of the … fp-projective modules,
strongly fp-injective modules) is a … a functor L ⟶ Ab is right exact if and only if it is fp-injective as …

… if R is coherent and any strongly FP-injective module is a pure … module is FP-injective and
any strongly FP-injective module … is a strongly FP-injective R-module if and only if M + is a flat R…

… modules such that F is flat and C is strongly FP-injective. Then there exists an exact sequence
… C to be a strongly FPinjective module, then using the long exact sequence of the functor …

… (L, A)-Gorenstein ring the functor − ⊗R − is left balanced over the … of all FP-injective R-modules,
and by F(R) the class of all flat R-… 1, Proposition 6] we have that the pair of (strongly) w-FI- …

… We explore the relevance of strongly fp-injective modules in … are the modules that annihilate
the functors Ext R n ( C , _ _ ) … of the acyclic K-flat complexes of flat modules by Neeman [19]. …

… such that M ∼= Ker(P0 → P−1), and such that it remains exact after applying the functor I ⊗…
Gorenstein flat module is Gorenstein flat. Note that any projectively coresolved Gorenstein flat …

… dimension at most 1 can be embedded into a flat functor, and so I ′ is flat. Hence, I … [13] LX
Mao, On strongly flat and Ω-Mittag-Leffler objects in the category ((R-mod)op, Ab), Mediterr. J. …

… It is well known that M is fp-injective if and only if Ext1 … We say that M is strongly flat,
provided that Ext1 … Therefore, we can restrict the functor to I = Uop by viewing the sheaf M as a …

… FP-injective (G-FP-injective) providing there exists an exact … ) and the functor Hom(E, −) leaves
E exact whenever E is an … coherent rings in terms of strongly FP-injective modules, Comm. …