Relative singularity categories and Gorenstein‐projective modules
Relative singularity categories and Gorenstein‐projective modules
Abstract We introduce the notion of relative singularity category with respect to a self‐orthogonal subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen‐Macaulay objects, and under certain conditions, we show that the stable category of ω‐Cohen‐Macaulay objects is triangle‐equivalent to the relative singularity category. As applications, …