Gorensteinness, homological invariants and Gorenstein derive

发布时间：2018-10-24 17:53

【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 D_(gp) ~b(A-mod)of A are investigated.Specifically,the Gorensteinness of A is characterized in terms of recollements of D_(gp) ~b(A-mod)and Gorenstein derived equivalences.It is also shown that Cohen-Macaulay-finiteness is invariant with respect to the recollements of D_(gp) ~b(A-mod).
[Abstract]: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 D_(gp) ~b(A-mod)of A are investigated.Specifically,the Gorensteinness of A is characterized in terms of recollements of D_(gp) ~b(A-mod)and Gorenstein derived equivalences.It is also shown that Cohen-Macaulay-finiteness is invariant with respect to the recollements of D_(gp) ~b(A-mod).
【作者单位】： Department
【基金】：supported by National Natural Science Foundation of China (Grant No. 11101259)
【分类号】：O153.3

【相似文献】

相关期刊论文 前10条

1 施容华;THE AVERAGE DISTANCE OF A CONNECTED GRAPH[J];Chinese Science Bulletin;1991年04期

2 Peterson Chariya;Computer symbol calculation of invariants of three-manifolds obtained from trefoil knots[J];Chinese Science Bulletin;1997年02期

3 纪友清,李觉先,孙善利;The Quasiapproximate (鉍+，

本文编号：2292113