Singularity Categories, Schur Functors and Triangular Matrix Rings

被引：0

作者：

Xiao-Wu Chen

机构：

[1] University of Science and Technology of China,Department of Mathematics

来源：

Algebras and Representation Theory | 2009年 / 12卷

关键词：

Singularity category; Schur functor; Triangular matrix ring; Gorenstein ring; 18E30; 18E35; 16E65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：181 / 191

页数：10

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