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. Th...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.展开更多
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)+2 种基金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)
文摘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.
