| 2-Calabi-Yau tilted代数的交换关系 |
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| 引用本文： | 刘品. 2-Calabi-Yau tilted代数的交换关系[J]. 中国科学:数学, 2010, 40(11): 1039-1044. DOI: 10.1360/012009-707 |
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| 作者姓名： | 刘品 |
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| 作者单位： | 西南交通大学数学学院, 成都610031 |
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| 基金项目： | 中央高校基本科研业务费专项资金（批准号：SWJTU09BR197 SWJTU09CX076）; 西南交通大学青年教师科研起步基金（批准号：2009Q062）资助项目致谢 作者感谢付昌建和彭联刚的有益讨论,并且感谢朱彬和匿名审稿人的非常有价值的建议和评论. |
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| 摘 要： | 本文研究了2-Calabi-Yau三角范畴上的2-Calabi-Yau tilted代数的almost complete tilting模.我们利用2-Calabi-Yau三角范畴上的交换关系给出了2-Calabi-Yau tilted代数的almost complete tilting模有两个(Bongartz)补的一系列充分必要条件.
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| 关 键 词： | 2-Calabi-Yau三角范畴 2-Calabi-Yau tilted 代数 tilting模 |
Exchange relation for 2-Calabi-Yau tilted algebras |
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| LIU Pin. Exchange relation for 2-Calabi-Yau tilted algebras[J]. Scientia Sinica Mathemation, 2010, 40(11): 1039-1044. DOI: 10.1360/012009-707 |
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| Authors: | LIU Pin |
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| Abstract: | In this note,we consider 2-Calabi-Yau tilted algebras,i.e.,algebras which appear as endomorphism rings of cluster-tilting objects in 2-Calabi-Yau triangulated categories.We show that,given one complement to an almost complete basic tilting module over such an algebra,the other one（if exists） can be constructed using the exchange relation in the corresponding 2-Calabi-Yau triangulated category. |
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| Keywords: | 2-Calabi-Yau triangulated category 2-Calabi-Yau tilted algebra tilting module |
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