|
|||||
|
|
Derived equivalences and Cohen-Macaulay Auslander algebras |
|
| Authors: | Shengyong PAN Xiaojin ZHANG |
| Institution: | 1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China2. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China3. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China |
| Abstract: | Let A and B be Artin R-algebras of finite Cohen-Macaulay type. Then we prove that, if A and B are standard derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived equivalent. And we show that Gorenstein projective conjecture is an invariant under standard derived equivalence between Artin R-algebras. |
| Keywords: | Standard derived equivalence Cohen-Macaulay Auslander algebra Gorenstein projective conjecture |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 | |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 | |