" The study of modules which are invariant under the action of certain subsets of the endomorphism
ring of their injective envelope can be drawn back to the pioneering work of Johnson …

… G-flat modules are strongly copure flat and strongly copure flats … Using the functor M ⊗ − on
the short exact sequence, we get … An R-module M is called FP-injective (or absolutely pure) if …

… An n-FC ring is a coherent ring with self-FPinjective dimension n, ie, FP-idR(R) ⩽ n. These
… Since wgldim(R) ⩽ ∞, it is easy to see that TKi is flat. Considering sequence (1), we will get …

… initially introduced as Gorenstein FP-injective modules in [18]… ; we can compute right derived
functors \(\mathrm{Ext}^i(X,Y)\… whenever J is an FP-injective (resp., a flat) chain complex. It …

… after applying the covariant Hom functor with respect to weak … are generalizations of FP-injective
and flat modules. These … only need to prove that every strongly two-degree Gorenstein …

… notion of flat module is that of absolutely pure (=FP-injective) … flat module is a direct summand
of a strongly Gorenstein flat … consisting of flat right A-modules where A is the functor ring of …

… proved by so called strongly Gorenstein projective and injective … on vanishing of relative
derived functors. This serves as an … left Quillen functor, or equivalently G is a right Quillen functor. …

… and the Gorenstein flat dimension are introduced and … FP injective dimension of M,
denoted by FP-id(M), is defined and characterized. The FP-injective modules and the FP-injective …

… that they called Gorenstein FP-injective modules, which were … if we similarly use the derived
functor EXT1 to define the FPn-… Gorenstein n-FP-injective and Gorenstein n-flat, respectively, …

… We begin with a quite general version of this functor. The … Recall that a left R-module M is
absolutely pure (or FP-injective… Fortunately, we shall not need the strong conclusion in Lemma …