… Furthermore, if I 1(Rop) denotes the class of FP-injective right … -flat module is a direct summand
of a strongly Gorenstein AC-… relative Gorenstein flat objets involving torsion functors, and …

… (2) By the definition of Frobenius extension, we get that AR is a projective right R-module, so
it is flat… Let Q be an FP-injective left A-module. It is easy to see that Q is an FP-injective left R-…

… for the left orthogonal class of A with respect to the Tor functor, that is … We denote by Finj the
class of all fp-injective modules. … Choosing C = Proj, we obtain the classical notion of strongly …

… Consider an exact sequence 0 → F → F → F → 0 with F and F are FI-flat. Applying the long
exact sequence of functor (N ⊗R ·) where N is an FP-injective R-module, we obtain the exact …

… FP-injective modules in the notion of Gorenstein flat modules, one gets exactly the Gorenstein
flat … ] introduced the notions of absolutely clean (FP∞-injective) and level modules in terms …

… Since then, the theory of torsion pairs has been greatly … over semiherditary rings the class
of FP-injective modules is also closed … 1-presented modules, and that the functor Tor 1 ( − , M ) …

… existence of left and right adjoint functors to the Verdier quotient functors in the diagram (7) …
-modules are strongly finitely presented, and objects of the class E are called fp-injective left A…

… We prove that the class of the strongly at R-modules is a cover class if and … FP-injective and
at) modules are pure-injective fp-injective (… The relative (co)homological functors Extf and Tor …

… for the left orthogonal class of A with respect to the Tor functor, that is … We denote by Finj the
class of all fp-injective modules. … Choosing C = Proj, we obtain the classical notion of strongly …

… pure modules (also called FP-injective modules) whenever R is a … The functor F is only
right exact in general, but since C is … By corollary 4.6 we know that Y is trivial in the exact firmly …