Gorenstein derived categories
Gorenstein derived categories
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DOI：
10.1016/j.jalgebra.2010.01.027
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发表时间：
2010-04
影响因子：
0.9
通讯作者：
Nan Gao;Pu Zhang
中科院分区：
文献类型：
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作者：
Nan Gao;Pu Zhang
定义了Gorenstein派生范畴，并给出了与常用派生范畴的关系。用Gorenstein-投射模的同伦范畴显式刻画了Gorenstein环和有限维代数的有界Gorenstein派生范畴，并得到了一些应用。讨论了CM-有限Gorenstein代数之间的Gorenstein导出等价。
Gorenstein derived categories are defined, and the relation with the usual derived categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of finite-dimensional algebras are explicitly described via the homotopy categories of Gorenstein-projective modules, and some applications are obtained. Gorenstein derived equivalences between CM-finite Gorenstein algebras are discussed.