Some notes on Gorenstein projective modules

Abstract

Let $R$ be a ring. It is proved that $(\mathcal{G}\mathcal{P}(R),\mathcal{G}\mathcal{P}(R{)}^{\perp })$ is a complete hereditary cotorsion pair, where $\mathcal{G}\mathcal{P}(R)$ 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.

This paper has been withdrawn by the author

References in corpus (1)

• The countable Telescope Conjecture for module categories