| $tilde{A}_n$型丛倾斜代数的Cohen-Macaulay Auslander代数的导出等价分类 |
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| 引用本文： | 林记. $tilde{A}_n$型丛倾斜代数的Cohen-Macaulay Auslander代数的导出等价分类[J]. 四川大学学报(自然科学版), 2016, 53(5): 967-972 |
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| 作者姓名： | 林记 |
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| 作者单位： | 阜阳师范学院 |
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| 基金项目： | 安徽省高校自然科学研究重点项目(KJ2015A161);安徽高校省级自然科学研究一般项目(2015KJ016);阜阳师范学院自然科学研究项目(2015FSKJ05) |
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| 摘 要： | 主要研究了$tilde{A}_n$型丛倾斜代数的Cohen-Macaulay Auslander代数的导出等价分类问题, 利用Avella-Alamimos和Geiss给出的算法证明了$tilde{A}_n$型丛倾斜代数的Cohen-Macaulay Auslander代数导出等价的充分必要条件是相应的丛倾斜代数导出等价.
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| 关 键 词： | $tilde{A}_n$型丛倾斜代数 Cohen-Macaulay Auslander代数 导出等价分类 |
| 收稿时间： | 2015-07-21 |
| 修稿时间： | 2016-01-12 |
The derived equivalence classification of Cohen-Macaulay Auslander algebras over cluster tilted algebras of type $tilde{A}_n$ |
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| LIN Ji. The derived equivalence classification of Cohen-Macaulay Auslander algebras over cluster tilted algebras of type $tilde{A}_n$[J]. Journal of Sichuan University (Natural Science Edition), 2016, 53(5): 967-972 |
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| Authors: | LIN Ji |
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| Affiliation: | School of Mathematics and Statistics, Fuyang Teachers College; College of Mathematics, Sichuan University |
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| Abstract: | We mainly study the derived equivalence classification of Cohen-Macaulay Auslander algebras over cluster tilted algebras of type $tilde{A}_n$ and prove that Cohen-Macaulay Auslander algebras over cluster-tilted algebras of type $tilde{A}_n$ are derived equivalent if and only if the corresponding cluster tilted algebras are derived equivalent. |
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| Keywords: | cluster tilted algebras of type $tilde{A}_n$ Cohen-Macaulay Auslander algebras derived equivalence classification |
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