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Derived equivalences and Cohen-Macaulay Auslander algebras

ISSN号：1673-0291
期刊名称：《北京交通大学学报：自然科学版》
时间：0
分类：O241.1[理学—计算数学;理学—数学] G633.62[文化科学—教育学]
作者机构：[1]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China, [2]Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China, [3]School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
相关基金：Acknowledgements S.Y. Pan was supported by the National Natural Science Foundation of China （Grant No. 11201022）, the Fundamental Research Funds for the Central Universities （2013JBM096, 2013RC027）, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education. This revision of the first draft was done when S. Y. Pan was a postdoctor of Bishop＇s University, he would like to thank Professor Thomas Briistle for his warm hospitality. X. J. Zhang was supported by National Natural Science Foundation of China （Grant No. 11101217）.

作者： Shengyong PAN[1,2], Xiaojin ZHANG[3]

关键词：代数, 科恩, 等价, 衍生, 麦, 标准, Standard derived equivalence, Gorenstein projective conjecture Cohen-Macaulay Auslander algebra,

中文摘要：

让的 A 和 B 是有限 Cohen 麦考莱类型的 Artin R 代数学。如果 A 和 B 是标准的，那么，我们证明那导出的等价物，那么，他们的 Cohen 麦考莱 Auslander 代数学也被导出相等。并且我们显示出那 Gorenstein 射影推测一在在 Artin R 代数学之间的标准导出的等价下面不变。

英文摘要：

Let A and B be Artin R-algebras of finite Cohen-Macaulay type. Then we prove that, if A and B are standard derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived equivalent. And we show that Gorenstein projective conjecture is an invariant under standard derived equivalence between Artin R-algebras.

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