Tilting Bimodules from Tilting Pairs
Received:April 06, 2009  Revised:January 18, 2010
Key Word: selforthogonal module   tilting bimodule   tilting pair.
Fund ProjectL: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).
 Author Name Affiliation Yi Hua LIAO Department of Mathematics, Southeast University, Jiangsu 210096, P. R. China College of Mathematics and Information Science, Guangxi University, Guangxi 530004, P. R. China Jian Long CHEN Department of Mathematics, Southeast University, Jiangsu 210096, P. R. China
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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.