| Tilting Bimodules from Tilting Pairs |
| Received:April 06, 2009 Revised:January 18, 2010 |
| Key Words:
selforthogonal module tilting bimodule tilting pair.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10971024; 10826036), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.200802860024), the Natural Science Foundation of Jiangsu Province (Grant No.BK2010393) and the Scientific Research Foundation of Guangxi University (Grant No.XJZ100246). |
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| Abstract: |
| Tilting pair was introduced by Miyashita in 2001 as a generalization of tilting module. In this paper, we construct a tilting left ${\rm End}_{\Lambda}(C)$-right ${\rm End}_{\Lambda}(T)$-bimodule for a given tilting pairs $(C,T)$ in ${\rm mod}\,\Lambda$, where $\Lambda$ is an Artin algebra. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.01.012 |
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