… 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 …

… flat module is Gorenstein projective. Recently, the weak injective modules were introduced
in [17] as a generalization of the FP-injective … a coherent ring is always FP-injective. So, we …

… {Mod}(R)\) and the full subcategory of flat functors in the category \(((\mathrm{mod}(R))…
FP-injective functors in the category \((\text {mod(R)},\mathrm{Ab})\) of covariant (additive) functors …

… flat dimension less than n, the class of fibrant objects coincides with Fn (R)⊥ the right Ext-orthogonal
class of left R-modules with flat … (R)∩ C (R) modulo flat-cotorsion modules and it is …

… one is able to obtain strong results about the finitistic dimension… Finally, we require the next
result that relies heavily on our … By a repeated use of stupid truncation functors, we may find a …

… of very flat modules [61, 85], as well as our work on a related topic of strongly flat and quite
flat … with an exact forgetful functor C–comod −→ R–mod if and only if C is a flat R-module. The …

… C-flat if and only if its character module is C-injective, and that M is C-Gorenstein flat implies
that … As a consequence, we get that the C-Gorenstein flat dimension of M is at most its C-flat …

… It is highly recommended that the reader see [BGH14, Section 2] for further details. First,
a … with flat modules and absolutely clean modules coincide with absolutely pure (FP-injective) …

… 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 …

… pure-injective objects are strongly related to each other. In this … (7) An object Y ∈ A is
called fp-injective if Ext1 … We will denote the category of additive functors from T c to Ab by T c-…