| Graded and Nongraded Properties of Partial Tilting Modules and Tilting Modules |
| Received:January 20, 2007 Revised:July 06, 2008 |
| Key Words:
tilting module partial tilting module graded module smash product.
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| Fund Project:the National Natural Science Foundation of China (Nos.10371101; 10671161); the Natural Science Foundation of Fujian Province (No.Z0511022) and the Foundation of the Education Committee of Fujian Province (Nos.JA050206; JA06008; JB04215). |
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| Abstract: |
| This paper gives the relationships among partial tilting objects (tilting objects) of categories of graded left $A$-modules of type $G$, left $A$-modules, left $A_{e}$-modules and $A\sharp G$-modules, and then proves that for graded partial tilting modules, there exist the Bongartz complements in the category of graded $A$-modules. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.02.015 |
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