Tensor products of tilting modules

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• 作者：Meixiang Chen ; Qinghua Chen
• 关键词：Tensor product ; tilting module ; n ; tilting module ; endomorphism algebra
• 刊名：Frontiers of Mathematics in China
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：12
• 期：1
• 页码：51-62
• 全文大小：161 KB
• 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
• 卷排序：12

文摘

We consider whether the tilting properties of a tilting A-module T and a tilting B-module T′ can convey to their tensor product T ⊗ T′: The main result is that T ⊗ T′ turns out to be an (n + m)-tilting A ⊗ B-module, where T is an m-tilting A-module and T′ is an n-tilting B-module.