Gorensteinness, homological invariants and Gorenstein derived categories

被引：0
|
作者：
Nan Gao
机构：
[1] Shanghai University,Department of Mathematics
来源：
Science China Mathematics | 2017年 / 60卷
关键词：
Gorenstein-projective modules; CM-finite algebras; virtually Gorenstein algebras; Gorenstein derived categories; Gorenstein defect categories; Gorenstein stable categories; 18E30; 18G25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Relations between Gorenstein derived categories, Gorenstein defect categories and Gorenstein stable categories are established. Using these, the Gorensteinness of an algebra A and invariants with respect to recollements of the bounded Gorenstein derived category Dgpb (A-mod) of A are investigated. Specifically, the Gorensteinness of A is characterized in terms of recollements of Dgpb(A-mod) and Gorenstein derived equivalences. It is also shown that Cohen-Macaulay-finiteness is invariant with respect to the recollements of Dgpb(A-mod).
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页码：431 / 438
页数：7
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