Indecomposables with smaller cohomological length in the derived category of gentle algebras Dedicated to Professor Yingbo Zhang on the Occasion of Her 70th Birthday

Indecomposables with smaller cohomological length in the derived category of gentle algebras Dedicated to Professor Yingbo Zhang on the Occasion of Her 70th Birthday

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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Indecomposables with smaller cohomological length in the derived category of gentle algebras Dedicated to Professor Yingbo Zhang on the Occasion of Her 70th Birthday
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