论文摘要
Bongartz(2013) and Ringel(2011) proved that there is no gaps in the sequence of lengths of indecomposable modules for the ?nite-dimensional algebras over algebraically closed ?elds. The present paper mainly studies this "no gaps" theorem as to cohomological length for the bounded derived category Db(A) of a gentle algebra A: if there is an indecomposable object in Db(A) of cohomological length l > 1, then there exists an indecomposable with cohomological length l-1.
论文目录
文章来源
类型: 期刊论文
作者: Chao Zhang
来源: Science China(Mathematics) 2019年05期
年度: 2019
分类: 基础科学
专业: 数学
单位: Department of Mathematics, Guizhou University
基金: supported by National Natural Science Foundation of China (Grant Nos. 11601098 and 11701321),Science Technology Foundation of Guizhou Province (Grant Nos. [2016]1038,[2015]2036 and [2017]5788)
分类号: O154.2
页码: 891-900
总页数: 10
文件大小: 221K
下载量: 6
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