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Singular Equivalences of Trivial Extensions |
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| Authors: | Xiao-Wu Chen |
| Institution: | 1. Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, Chinaxwchen@mail.ustc.edu.cn |
| Abstract: | We prove that a certain pair of bimodules over two artin algebras gives rise to a triangle equivalence between the singularity categories of the two corresponding trivial extension algebras. Some consequences and an example are given. |
| Keywords: | Bimodule Singularity category Singular equivalence Trivial extension |