| 偏倾斜模和倾斜模的分次与非分次性质 |
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| 引用本文： | 郑敏,陈清华. 偏倾斜模和倾斜模的分次与非分次性质[J]. 数学研究及应用, 2009, 29(2): 317-326 |
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| 作者姓名： | 郑敏 陈清华 |
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| 作者单位： | 福建师范大学数学与计算机科学学院, 福建 福州 350007;福建师范大学数学与计算机科学学院, 福建 福州 350007 |
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| 基金项目： | 国家自然科学基金(Nos.10371101; 10671161); 福建省自然科学基金(No.Z0511022); 福建省教育厅基金(Nos.JA050206; JA06008; JB04215). |
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| 摘 要： | 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 Ae-modules and A#-modules, and then proves that for graded partial tilting modules, there exist the Bongartz complements in the category of graded A-modules.
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| 关 键 词： | 偏倾斜模 倾斜模 分次 非分次 |
| 收稿时间： | 2007-01-20 |
| 修稿时间： | 2008-07-06 |
Graded and Nongraded Properties of Partial Tilting Modules and Tilting Modules |
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| ZHENG Min and CHEN Qing Hua. Graded and Nongraded Properties of Partial Tilting Modules and Tilting Modules[J]. Journal of Mathematical Research with Applications, 2009, 29(2): 317-326 |
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| Authors: | ZHENG Min and CHEN Qing Hua |
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| Affiliation: | School of Mathematics and Computer Science, Fujian Normal University, Fujian 350007, China;School of Mathematics and Computer Science, Fujian Normal University, Fujian 350007, China |
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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 $Asharp G$-modules, and then proves that for graded partial tilting modules, there exist the Bongartz complements in the category of graded $A$-modules. |
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| Keywords: | tilting module partial tilting module graded module smash product. |
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