有界导出范畴的描述

Description of Bounded Derived Categories

利用预覆盖类描述Abel范畴A的有界导出范畴Db(A),并给出相应的应用.结果表明,模范畴的有界导出范畴可用Gorenstein平坦模和余挠对描述.

We described bounded derived category D^b （A） of Abel category A via precovering class and gave the corresponding applications. The results show that the bounded derived category of the module category can be described by the Gorenstein flat modules and the cotorsion pairs.