【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).
【作者單位】： Department
【基金】：supported by National Natural Science Foundation of China (Grant No. 11101259)
【分類號(hào)】：O153.3

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