Singularity Categories, Schur Functors and Triangular Matrix Rings
نویسندگان
چکیده
We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity category of triangular matrix rings. In particular, combining these results with Buchweitz–Happel’s theorem, we can describe singularity categories of certain non-Gorenstein rings via the stable category of maximal Cohen–Macaulay modules. Three concrete examples of finitedimensional algebras with the same singularity category are discussed.
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