Ghost Length, Cone Length and Complete Level of DG Modules

作     者：Xue Feng MAO 

作者机构：Department of Mathematics Shanghai University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第7期

页      面：1279-1310页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the First-class Discipline of Universities in Shanghai, the Discipline Project at the Corresponding Level of Shanghai (Grant No. A.13010112005) National Natural Science Foundation of China (Grant No. 11001056) the China Postdoctoral Science Foundation (Grant Nos. 20090450066 and 201003244) the Key Disciplines of Shanghai Municipality (Grant No. S30104) the Innovation Program of Shanghai Municipal Education Commission (Grant No. 12YZ031) 

主　　题：Local chain DG algebra DG module ghost length cone length complete level 

摘      要：In this paper, we introduce a new numerical invariant complete level for a DG module over a local chain DG algebra and give a characterization of it in terms of ghost length. We also study some of its upper bounds. The cone length of a DG module is an invariaut closely related with the invariant level. We discover some important results on it.