Approximations and adjoints for categories of complexes of Gorenstein projective modules

Abstract

In the paper, it is proven that every object in C(R-GProj) has a special C(R-Proj)-preenvelope, and then some adjoints in homotopy categories related to Gorenstein projective modules are given, where C(R-Proj) is the subcategory of complexes of projective R-modules, and C(R-GProj) is the subcategory of complexes of Gorenstein projective R-modules.