ABSTRACT
C is the left half of a cotorsion pair pGProjnpCq, pGProjnpCqqKq. Regarding the class ProjnpCq of n-projective objects, it is not clear if pProjnpCq, pProjnpCqqKq is a cotorsion pair. This was proven previously under particular circumstances, as in Theorem 9.4.5. In the setting provided by Gorenstein categories, we can use other arguments to obtain this cotorsion pair, as we specify next.
