Some notes on Gorenstein projective modules

الأصل · EN

Let R be a ring. It is proved that (GP(R), GP(R)) is a complete hereditary cotorsion pair, where GP(R) denotes the class of the Gorenstein projective left R-modules. Then we get that each left R-module has a special Gorenstein projective precover. As an application, we prove that all Gorenstein projective left R-modules are Gorenstein flat over left noetherian rings.