| On one-sided torsion pair |
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| 作者姓名： | Ya-nan LIN & Lin XIN |
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| 作者单位： | Ya-nan LIN & Lin XIN Department of Mathematics，Xiamen University，Xiamen 361005，China Department of Mathematics，Fujian Normal University，Puzhou 350007，China |
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| 基金项目： | 国家自然科学基金;福建省自然科学基金 |
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| 摘 要： | Motivated by the concept of a torsion pair in a pre-triangulated category induced by Beligiannis and Reiten, the notion of a left (right) torsion pair in the left (right) triangulated category is introduced and investigated. We provide new connections between different aspects of torsion pairs in one-sided triangulated categories, pre-triangulated categories, stable categories and derived categories.
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| 收稿时间： | 1 November 2004 |
| 修稿时间： | 3 August 2006 |
On one-sided torsion pair |
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| Ya-nan LIN & Lin XIN.On one-sided torsion pair[J].Science in China(Mathematics),2007,50(1):13-26. |
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| Authors: | Ya-nan Lin Lin Xin |
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| Institution: | 1. Department of Mathematics, Xiamen University, Xiamen 361005, China
2. Department of Mathematics, Fujian Normal University, Fuzhou 350007, China |
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| Abstract: | Motivated by the concept of a torsion pair in a pre-triangulated category induced by Beligiannis and Reiten, the notion of a left (right) torsion pair in the left (right) triangulated category is introduced and investigated. We provide new connections between different aspects of torsion pairs in one-sided triangulated categories, pre-triangulated categories, stable categories and derived categories. |
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| Keywords: | triangulated category triangle torsion pair stable category |
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