Singularity Categories, Schur Functors and Triangular Matrix Rings
Singularity Categories, Schur Functors and Triangular Matrix Rings
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DOI：
10.1007/s10468-009-9149-2
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发表时间：
2007-06
影响因子：
0.6
通讯作者：
Xiao-Wu Chen
中科院分区：
文献类型：
--
作者：
Xiao-Wu Chen
研究了保持环奇点范畴的若干舒尔函子，并将它们应用于三角矩阵环奇点范畴的研究。特别地，将这些结果与Buchweitz-Happel定理相结合，我们可以通过极大Cohen-Macaulay模的稳定范畴来描述某些非gorenstein环的奇异范畴。讨论了具有相同奇异范畴的有限维代数的三个具体例子。
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.