Journal
ALGEBRAS AND REPRESENTATION THEORY
Volume 12, Issue 2-5, Pages 181-191Publisher
SPRINGER
DOI: 10.1007/s10468-009-9149-2
Keywords
Singularity category; Schur functor; Triangular matrix ring; Gorenstein ring
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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 finite-dimensional algebras with the same singularity category are discussed.
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