| 奇点模型范畴的Quillen等价 |
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| 引用本文： | 任伟.奇点模型范畴的Quillen等价[J].数学学报,2019,62(3):521-528. |
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| 作者姓名： | 任伟 |
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| 作者单位： | 重庆师范大学数学科学学院 重庆 401131 |
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| 基金项目： | 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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| 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■.
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| 关 键 词： | 模型范畴 Quillen等价 左Gorenstein环 |
Quillen Equivalence of Singular Model Categories |
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| Wei REN.Quillen Equivalence of Singular Model Categories[J].Acta Mathematica Sinica,2019,62(3):521-528. |
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| Authors: | Wei REN |
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| Institution: | School of Mathematical Sciences, Chongqing Normal University, Chongqing 401131, P. R. China |
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| Abstract: | Let R be a left-Gorenstein ring. We construct a Quillen equivalence between singular contraderived model category and singular coderived model category introduced in (seeModels 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. |
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| Keywords: | model category Quillen equivalence left-Gorenstein ring |
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