Indecomposables with smaller cohomological length in the derived category of gentle algebras Dedicat

• 作 者: Chao Zhang
• 机 构: DepartmentofMathematics
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年5期
• 关键词: cohomological LENGTH generalized string(band) derived discrete ALGEBRAS
• 基金项目: 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).

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 coh