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奇点模型范畴的Quillen等价
Quillen Equivalence of Singular Model Categories
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 forsingularity 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Kex（P）?Kex（I）.
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 Kex(P)?Kex(I) for the homotopy categories of exact complexes of projective and injective modules.
模型范畴 / Quillen等价 / 左Gorenstein环 {{custom_keyword}} /
model category / Quillen equivalence / left-Gorenstein ring {{custom_keyword}} /
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国家自然科学基金资助项目（11871125）；重庆市自然科学基金项目（cstc2018jcyjAX0541）
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