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arxiv: 0911.1272 · v1 · submitted 2009-11-06 · 🧮 math.AC

The Right Orthogonal Class GP(R)^(perp) via Ext

classification 🧮 math.AC
keywords gorensteinclassperpprojectivecompletecotorsiondiscussevery
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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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