Derived equivalences and Cohen-Macaulay Auslander algebras  

作　　者：Shengyong PAN Xiaojin ZHANG 

机构地区：[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

出　　处：《Frontiers of Mathematics in China》2015年第2期323-338,共16页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements S.Y. Pan was supported by the National Natural Science Foundation of China （Grant No. 11201022）, the Fundamental Research Funds for the Central Universities （2013JBM096, 2013RC027）, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education. This revision of the first draft was done when S. Y. Pan was a postdoctor of Bishop＇s University, he would like to thank Professor Thomas Briistle for his warm hospitality. X. J. Zhang was supported by National Natural Science Foundation of China （Grant No. 11101217）.

摘　　要：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.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.

关 键 词：Standard derived equivalence Gorenstein projective conjecture Cohen-Macaulay Auslander algebra 

分 类 号：O241.1[理学—计算数学] G633.62[理学—数学]