… and Olteanu investigated transfers of strongly Rickart objects in … this statement when L
is a faithful functor (see Theorem 2.17). … Let F denote the full subcategory of all flat right S-modules, …

… of the homotopy category of flat modules and he obtained a … Our results are strongly based
on the two papers [20] and [19… FpInj denotes the class of Fp-injective modules, that is the right …

… R is left coherent if and only if every direct limit of FP-injective7 R-modules is also FP-injective. …
Taking X to be the class of flat R-modules, we speak simply of the flat preenvelope of M. …

… and rings in terms of right derived functors of - ® For a left max… -module is m-flat if and only
if R is left strongly max-coherent … FP-injective modules play precisely the same role relative to …

… Firstly, we introduce the following functors which are defined in [9]. … 1], where Flat(R)
denotes the class of flat left R-modules and FP-Inj(Rop) denotes the class of FP-injective right R-…

… We also show that every flat right R-module is nonsingular over a … , strongly simple-injective,
soc-injective and strongly soc-… F : C → D is a category equivalence in case there is a functor …

… For instance, we show that, for a right strongly P-coherent ring R … left R-module has a
nonzero flat envelope if and only if every … In this case, the mth left derived functor of Hom(M,N), …

… 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. …

… For instance, we show that, for a right strongly P-coherent ring R … left R-module has a
nonzero flat envelope if and only if every … In this case, the mth left derived functor of Hom(M,N), …

… flat and Gorenstein flat R-modules as halves of left and right n-cotorsion pairs. This will lead
to some characterisations of left perfect rings with null global Gorenstein flat … functors F and G…