… We will find the minimum requirements for FFD(X) (resp. fFD(X)… R)\) of all complexes of
R-modules is a Grothendieck category. … of R-modules, where F is flat and C is cotorsion. So, there …

… complexes). We show that Gorenstein silting modules are the module-theoretic counterpart
… partial Gorenstein silting modules are in bijection with τG-rigid modules for finite dimensional …

… cotorsion triple to complexes, and get the equivalence of homotopy categories of complexes
… Gorenstein injective R-modules, and W consists of modules with finite projective dimension (…

… In addition, cotorsion pairs associated with the FP\(_n\)-injective and FP\(_n\)-… In this section,
we extent the notions of FP\(_n\)-injective and FP\(_n\)-flat modules to that of complexes and …

… Xu [8] concerning flat cotorsion modules and minimal flat resolutions. … of modules is not
optimal (dim R +1 as compared to depth R +1 in [12]), but the proof we give applies to complexes …

… they are, in turn, the right constituents of complete cotorsion pairs … noted that co/tilting modules
and complexes could be used to … If S1 and S2 are two such minimal elements, and we fix …

… We prove that a module is ℰ -Gorenstein injective if and only if it is a direct … module, and
every ℰ -Gorenstein flat module is a direct summand of a strongly ℰ -Gorenstein flat module. …

… class of cosilting modules which we call minimal (Corollaries … that the compact silting
complexes correspond to finite chains … We consider the tilting cotorsion pair (A, Gen TA) induced …

… hereditary and complete cotorsion triple that comes … flat R-modules is flat and we work in
Mod(R), then the coproduct of exact complexes with flat components is an exact complex of flat …

… They found the minimum conditions for C to still have a nice … all exact complexes having as
components modules in any … of relative cotorsion modules: strongly CC-cotorsion and nCC-…