The Right Orthogonal Class $\GP(R)^{\perp}$ via $\Ext$

Details The Right Orthogonal Class $\GP(R)^{\perp}$ via $\Ext$ The Right Orthogonal Class $\GP(R)^{\perp}$ via $\Ext$

2009-11-06

arxiv.org/abs/0911.1272v1

Mathematics

Commutative Algebra

Scientific paper

In this paper, we study the pair $(\GP(R),\GP(R)^{\perp})$ where $\GP(R)$ is
the class of all Gorenstein projective modules. We prove that it is complete
hereditary cotorsion theory provided $l.\Ggldim(R)<\infty$. We discuss also,
when every Gorenstein projective module is Gorenstein flat.

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