Compact DG modules and Gorenstein DG algebras

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：fymgxlj

【摘要】

：

When the base connected cochain DG algebra is cohomologically bounded, it is proved that the difference between the amplitude of a compact DG module and that of

【作者】

：

XueFeng Mao (1) QuanShui Wu

【机构】

：

1.SchoolofMathematicalSciences

【出处】

：

中国科学：数学英文版

【发表日期】

：

2009年4期

【关键词】

：

differential graded ALGEBRA GORENSTEIN DG ALGEBRA regular DG ALGEBRA KOSZUL DG A

【基金项目】

：

supported by the National Natural Science Foundation of China (Grant No. 10731070),the Doctorate Foundation of Ministry of Education of China (Grant No. 20060246003)

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When the base connected cochain DG algebra is cohomologically bounded, it is proved that the difference between the amplitude of a compact DG module and that of the DG algebra is just the projective dimension of that module. This yields the unboundedness

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