Derived equivalences and Cohen-Macaulay Auslander algebras

doi:10.1007/s11464-015-0437-3

Front. Math. China

2015, Vol. 10

Issue (2) : 323-338 https://doi.org/10.1007/s11464-015-0437-3

RESEARCH ARTICLE

Derived equivalences and Cohen-Macaulay Auslander algebras

Shengyong PAN^1,²(

), Xiaojin ZHANG³

¹. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China
². Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China
³. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

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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

Corresponding Author(s): Shengyong PAN

Issue Date: 12 February 2015

Cite this article:

Shengyong PAN,Xiaojin ZHANG. Derived equivalences and Cohen-Macaulay Auslander algebras[J]. Front. Math. China, 2015, 10(2): 323-338.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0437-3
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I2/323

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