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_n型丛倾斜代数的Cohen-Macaulay Auslander代数的导出等价分类(英文) 被引量:2

Derived equivalence classification of Cohen-Macaulay Auslander algebras over cluster-tilted algebras of type _n
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摘要 本文主要研究了珦An型丛倾斜代数的Cohen-Macaulay Auslander代数的导出等价分类问题.利用Avella-Alaminos和Geiss给出的算法,本文证明了珦An型丛倾斜代数的CohenMacaulay 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. We mainly study the derived equivalence classification of Cohen-Macaulay Auslander algebras over cluster-tilted algebras of type An. and prove that Cohen-Macaulay Auslander algebras over cluster-tilted algebras of type An are derived equivalent if and only if the corresponding cluster-tilted algebras are derived equivalent.
作者 林记
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第5期967-972,共6页 Journal of Sichuan University(Natural Science Edition)
基金 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)
关键词 An型丛倾斜代数 COHEN-MACAULAY Auslander代数 导出等价分类 Cluster-tilted algebras of type An Cohen-Macaulay Auslander algebras Derived equivalence classification
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参考文献14

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