فهرست نشریات علمی دسترسی آزاد ایران

Let $R$ be a commutative Noetherian ring. We prove that  over a local ring $R$ every finitely generated $R$-module $M$ of finite Gorenstein projective dimension has a Gorenstein projective cover$\varphi:C \rightarrow M$ such that $C$ is finitely generated and the projective dimension of $\Ker\varphi$ is finite and $\varphi$ is surjective.