摘要
令R是左Gorenstein环.我们构造了奇点反导出模型范畴和奇点余导出模型范畴(见文[Models for singularity categories,Adv Math.,2014,254:187-232])之间的Quillen等价.作为应用,给出了投射,内射模的正合复形的同伦范畴之间的一个具体的等价■.
Let R be a left-Gorenstein ring. We construct a Quillen equivalence between singular contraderived model category and singular coderived model category introduced in(see [Models for singularity categories, Adv. Math., 2014, 254: 187-232]). As an application, we explicitly give an equivalence ■ for the homotopy categories of exact complexes of projective and injective modules.
引文
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