… homotopy category of F -totally acyclic complexes of flat-cotorsion A -modules, and thus
to the stable category of cotorsion Gorenstein flat modules. Combining this with results of …

… cotorsion theory in the category C(FlatX); see Theorem 2.9. As an attempt to understand the
homotopy category … if and only if every flat complex of cotorsion modules is contractible; see …

… flat R-modules, respectively. This paper aims at recognition of a parallel cotorsion pair in
K(Flat-Q), the homotopy category of flat … homotopy categories do not necessarily raise from the …

… that gives this cotorsion pair for arbitrary R. Next we deal with cotorsion flat resolutions of …
different techniques to lift the latter cotorsion pair to the corresponding homotopy categories. …

… pairs have been studied recently by many people leading to the recent proof of the Flat Cover
… we investigate homotopy theoretic properties of torsion and cotorsion theories by studying …

… In this section, we present our notion of a flat functor and prove that the corresponding
cotorsion theory is complete. Let HomG(-,-) : G×Gop −→ G be the right adjoint of - ⊗ -, J be an …

… , K(Flat A) the homotopy category of flat modules and Kp(Flat A) … The quotient category K(Flat
A)/Kp(Flat A), called here the … a flat resolution FY with cotorsion flat terms and with cotorsion …

… two compatible complete cotorsion pairs on A. This connection enables one to interpret
results about cotorsion pairs in terms of homotopy theory (for example, the flat cover conjecture [4…

… When restricting to the homotopy category K(Flat) of flat … exists for the embedding K-flat∩
K(Flat) ⊆ K(Flat) and the existence of … If K(Flat-Cotor) is the homotopy category of flat cotorsion …

… definition of the homotopy category of projectives for Qco(X), … with the usual homotopy
category of projectives when X is … (Flat X, Cot X) of flat quasi– coherent sheaves and cotorsion …