Tilting complexes and Auslander–Reiten conjecture

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• 作者：Jiaqun Wei (1)
  
• 关键词：Auslander–Reiten conjecture ; Tilting complex ; Derived equivalence ; 16E05 ; 16E10 ; 18E30 ; 18G10
• 刊名：Mathematische Zeitschrift
• 出版年：2012
• 出版时间：2 - October 2012
• 年：2012
• 卷：272
• 期：1
• 页码：431-441
• 全文大小：301KB
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• 作者单位：Jiaqun Wei (1)
  
  1. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, People’s Republic of China
  
• ISSN：1432-1823

文摘

We studied the properties of tilting complexes and proved that derived equivalences preserve the validity of the Auslander–Reiten conjecture.