Cotorsion pairs, thick subcategories, and finitely generated Gorenstein projective modules

Souvik Dey, Jian Liu, Xue-Song Lu

Let $R$ be a noetherian algebra over a Cohen--Macaulay ring $S$ admitting a canonical module $\omega$, and assume that $R$ is maximal Cohen--Macaulay over $S$. We prove that the categor…