A cotorsion theory in the homotopy category of complexes of flat $R$-modules

This note is devoted to the study of cotorsion theory in the homotopy category of flat R-modules, K(Flat-R). Let R be an arbitrary ring and K(dg-CotF-R) be the homotopy category of all dg-cotorsion complexes of flat R-modules. It is proved that (Kp(Flat-R), K(dg-CotF-R))forms a complete cotorsion pair in K(Flat-R), where Kp(Flat-R) is the subcategory of all flat complexes.