Gorensteinness, homological invariants and Gorenstein derived categories
Gorensteinness, homological invariants and Gorenstein derived categories
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DOI：
10.1007/s11425-015-0781-3
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发表时间：
2016-07
期刊：
影响因子：
--
通讯作者：
Nan Gao
中科院分区：
文献类型：
--
作者：
Nan Gao
建立了Gorenstein派生范畴、Gorenstein亏格范畴和Gorenstein稳定范畴之间的关系。在此基础上，研究了代数A的Gorenstein性和A的有界Gorenstein导出范畴Dgpb(A-mod)的不变量。具体地说，A的Gorenstein性是用Dgpb(A-mod)的回忆和Gorenstein导出的等价性来刻画的。还证明了Cohen-Macaulay-有限关于Dgpb(A-mod)的回忆是不变的。
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 categoryDgpb(A-mod) ofAare investigated. Specifically, the Gorensteinness ofAis characterized in terms of recollements ofDgpb(A-mod) and Gorenstein derived equivalences. It is also shown that Cohen-Macaulay-finiteness is invariant with respect to the recollements ofDgpb(A-mod).