论文标题

在回调戒指上得出Milnor的定理

Deriving Milnor's theorem on pullback rings

论文作者

Chen, Xiao-Wu, Le, Jue

论文摘要

米尔诺(Milnor)在回调环上的经典定理指出,回溯环上的投影模块类别等于由一个由投影模块组成的粘合三元组。我们证明了对派生类别水平的类似结果,在派生类别的水平上,等效性必须被势性代替。

The classical theorem of Milnor on pullback rings states that the category of projective modules over a pullback ring is equivalent to a certain category of gluing triples consisting of projective modules. We prove an analogous result on the level of derived categories, where the equivalence has to be replaced by an epivalence.

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