… 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. …

… We explore the relevance of strongly fp-injective modules in … [17]; these are the modules
that annihilate the functors Extn … to the description of Kflat complexes of flat modules. Finally, in …

… 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 …

… strongly FP-injective … FP-injective and any strongly FP-injective module is a pure quotient
module of some injective module (Theorem 3.4). It is also shown that any strongly FP-injective …

… The proof is quite elementary, using only a strong form of the pure-… strongly fp-injective
modules. An R-module J is said to be … functor ⊗R : Mod–R×R–Mod −→ Ab, and its derived functor …

… Since now MA is flat and f is monic, we get that f1 is monic. By Lemma 3.6, we … FP-injective
(redp., strongly FP-injective). Similarly, we get that Y is FP-injective (resp., strongly FP-injective…

… exact when applying a functor Hom(−,F), with F any flat module. It … We use SFPI to denote
the class of strongly FP-injective … of strongly FP-injective modules is simply that of FP-injective …

… To do this, we characterize G-Prüfer domains by G-flat modules, and … G-Prüfer domains by
strongly copure projective ideals. … of an FP-injective module is also FP-injective (Theorem 9), …

… if any P1-injective module is FP-injective. Moreover, we prove that … for each P1-injective
module N if and only if M is strongly flat. … modules with respect to the functor Hom. It is worthwhile …

… , which they called strongly Gorenstein flat and Gorenstein FP-injective modules, respectively,
… We note that the functors T and C are right exact, H and K are left exact, U and Z are exact. …