摘要
本文引入一类Koszul代数的τ_([n])-mutation的概念,并证明对于整体维数小于等于n的Koszul代数,如果其Koszul对偶为允许(n-1)-平移代数,则其n-APR倾斜模的自同态代数的箭图可由其自身作τ_([n])-mutation实现.
In this paper, we introduce the τ（[n]）-mutations of a class of Koszul algebra, and show that the n-APR tilts of Koszul algebra A is τ（[n]）-mutation of A if the global dimension gl.dim A≤n and the Koszul dual of A is an admissable（n-1）-translation algebra.
作者
罗德仁
张通亮
郑立景
LUO Deren;ZHANG Tongliang;ZHENG Lijing(College of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan, 414000, P. R. China;College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing （Ministry of Education of China）, Hunan Normal University, Changsha, Hunan, 410006, P. R. China;School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, P. R. China)
出处
《数学进展》
CSCD
北大核心
2018年第3期393-400,共8页
Advances in Mathematics（China）
基金
国家自然科学基金(No.11271119)
湖南省自然科学基金(Nos.2016JJ6124
2018JJ3204)
湖南省研究生创新项目(Nos.CX2013B216
CX2014B189)
