… H, and the objects (called strongly FP-injective) of the functor category (mod-R, Ab) … We
prove that a functor F in (mod-R, Ab) is FPinjective weakly flat if and only if the character functor F…

… and called strongly Gorenstein FP-injective modules and strongly Gorenstein flat modules, …
and since the functor Tor(−, −) commutes with direct limits, we note that the classes FP0-…

… 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. …

… notions of n-FP-injective and n-flat modules, and they … functor EXT 1 to define the FPn-grinjective
and FP∞-gr-injective modules, then they are just the FPn-injective and FP∞-injective …

… 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- …

… a notion of Gorenstein FP-injective dimension of complexes is … coherent ring a Gorenstein
FP-injective version of the above … To prove the triangle functor appearing in Theorem 4.7 is …

… FP-injective complexes. More recently, we introduced and investigated in [12,14] weak
injective and weak flat … It is obvious that the new functor − ⊗ C is a right exact functor, so we can …