摘要
研究GI-模和余自反复形及其性质,证明任意Artin模有有限的GI-维数当且仅当它作为复形是余自反的。同时研究复形的GI-维数,得到同调层次Artin的同调左有界复形的GI-维数有限当且仅当它是余自反的。
A class of GI-modules, coreflexive complexes and their properties are investigated. It is proved that an artinian module has finite GI-dimension if and only if it is coreflexive as a complex. The GI-dimension of complexes is also studied and it is found that a complex homologically degreewise artinian and bounded to the left has finite GI-dimension if and only if it is coreflexive.
作者
刘妍平
LIU Yan-ping(College of Economics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第4期32-40,共9页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11861055)
西北师范大学青年教师科研能力提升计划资助项目(NWNU-LKQN-16-13)。
