Derived equivalences and Cohen-Macaulay Auslander algebras

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• 作者：Shengyong Pan (1) (2)
  Xiaojin Zhang (3)
  
  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
  
• 关键词：Standard derived equivalence ; Cohen ; Macaulay Auslander algebra ; Gorenstein projective conjecture ; 18E30 ; 16G10 ; 16S10 ; 18G15
• 刊名：Frontiers of Mathematics in China
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：10
• 期：2
• 页码：323-338
• 全文大小：243 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Higher Education Press, co-published with Springer-Verlag GmbH
• ISSN：1673-3576

文摘

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.