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Tilting modules over path algebras of Dynkin type and complete slice modules
引用本文:WANG Minxiong~1 LIN Yanan~21.Department of Mathematics,Huaqiao University,Quanzhou 362011,China2.Department of Mathematics,Xiamen University,Xiamen 361005,China. Tilting modules over path algebras of Dynkin type and complete slice modules[J]. 中国科学A辑(英文版), 2005, 48(1): 97-106. DOI: 10.1360/03ys0149
作者姓名:WANG Minxiong~1 LIN Yanan~21.Department of Mathematics  Huaqiao University  Quanzhou 362011  China2.Department of Mathematics  Xiamen University  Xiamen 361005  China
作者单位:WANG Minxiong~1 LIN Yanan~21.Department of Mathematics,Huaqiao University,Quanzhou 362011,China2.Department of Mathematics,Xiamen University,Xiamen 361005,China
基金项目:国家自然科学基金,华侨大学校科研和教改项目
摘    要:Let T be a tilting A-module over a path algebra of Dynkin type.We prove thatif the indecomposable direct summands of T are in the different (?)-orbits of the AR-quiverof A,then T is a complete slice module.


Tilting modules over path algebras of Dynkin type and complete slice modules
Minxiong?WangEmail author,Yanan?Lin. Tilting modules over path algebras of Dynkin type and complete slice modules[J]. Science in China(Mathematics), 2005, 48(1): 97-106. DOI: 10.1360/03ys0149
Authors:Minxiong?Wang  author-information"  >  author-information__contact u-icon-before"  >  mailto:wmx@hqu.edu.cn"   title="  wmx@hqu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Yanan?Lin
Affiliation:1. Department of Mathematics,Huaqiao University,Quanzhou 362011,China
2. Department of Mathematics,Xiamen University,Xiamen 361005,China
Abstract:Let T be a tilting A-module over a path algebra of Dynkin type.We prove thatif the indecomposable direct summands of T are in the different T-orbits of the AR-quiverof A,then T is a complete slice module.
Keywords:tilting module  path algebra  slice module  hammock
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