… is FP-injective if and only if its character module is flat. In … has flat dimension at most n, and
so W + + has flat dimension ≤… From the isomorphisms obtained by the functors Ext and Tor in …

… A}\) is said to be strongly Gorenstein projective if there exists a short … We apply the functors
\(\mathrm{Hom}(-,P)\) and \(\mathrm{… In what follows FP will denote the class of all FP-injective …

… C a relativization of m-strongly Gorenstein modules, which we … of complexes relative to
Hom functors. Most of these results are … Here, FP- I ( R ) stands for the class of FP-injective (or …

… functor … of strongly Gorenstein flat complexes [15, 16] (resp., modules [8]). Thus, by
Corollaries 5.4 and 5.5, we can give the finiteness criteria in the category of strongly Gorenstein flat …

… the topology on Spch(Tc) is firmly on the Zariski side, while the … used, is that of the flat functors,
which we denote by Flat(Tc). The … , X is flat if and only if it is fp-injective, which is moreover …

… right coherent rings such that all flat left modules have finite … with compact support” functor
between derived categories of … (M,D) = 0 for all Ding injective modules D and all FP-injective …

… 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 …

… in the so-called strongly flat cotorsion pairs, and sometimes also in the flat cotorsion pair,
were … C, our exact sequence remains exact after applying the functor HomR.A;/. The resulting …

… Let take X = W be the subcategory of injective modules and Y the subcategory of FP-injective …
eN (R) (C, D) for i ≥ 0 to denote the groups we get from the right derived functor of Hom. …

… According to [27], an R-module M is said to be FP-injective (or absolutely pure [20]) if Ext1
… So applying the functor C ⊗R − to the exact sequence (4-3), we obtain the exact sequence …