Gorensteinness, homological invariants and Gorenstein derived categories
详细信息 查看全文
- 作者：Nan Gao
- 关键词：Gorenstein ; projective modules ; CM ; finite algebras ; virtually Gorenstein algebras ; Gorenstein derived categories ; Gorenstein defect categories ; Gorenstein stable categories
- 刊名：Science China Mathematics
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：60
- 期：3
- 页码：431-438
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Applications of Mathematics;
- 出版者：Science China Press
- ISSN：1869-1862
- 卷排序：60
文摘
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).