Semi-tilting complexes

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• 作者：Jiaqun Wei (193)
  
• 刊名：Israel Journal of Mathematics
• 出版年：2013
• 出版时间：March 2013
• 年：2013
• 卷：194
• 期：2
• 页码：871-893
• 全文大小：266KB
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• 作者单位：Jiaqun Wei (193)
  
  193. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, P.R.China
  
• ISSN：1565-8511

文摘

We introduce the notion of semi-tilting complexes, which is a small generalization of tilting complexes. Interesting examples include APR-semitilting complexes, etc. Note that non-trivial semi-tilting complexes exist for any non-semisimple non-local artin algebras, while tilting complexes may not. We extend interesting results in the tilting theory to semi-tilting complexes. As corollaries, we also obtain some new characterizations of tilting complexes.