| Gabriel单子与模范畴的局部化 |
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| 引用本文： | 刘洋,王正萍,许庆兵.Gabriel单子与模范畴的局部化[J].山东大学学报(自然科学版),2014(2):24-28. |
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| 作者姓名： | 刘洋 王正萍 许庆兵 |
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| 作者单位： | [1]滁州学院数学科学院,安徽滁州239000 [2]滁州职业技术学院基础部,安徽滁州239000 |
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| 基金项目： | 安徽省高校省级自然科学基金资助项目（KJ20122300,KJ2011B119）;安徽省质量工程基金资助（2012jyxm687） |
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| 摘 要： | 通过定义Gabriel单子来刻画模范畴的商范畴与局部化范畴，证明了Gabriel单子诱导的像和余像是等价的；其像为模范畴的局部化范畴，该局部化范畴等价于Gabriel单子确定的Kleisli范畴；其余像为模范畴的商范畴，该商范畴等价于Eilengerg-Moore范畴。
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| 关 键 词： | Gabriel单子 商范畴 局部化 |
The Gabriel monad and the localization of R-module category |
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| LIU Yang,WANG Zheng-ping,XU Qing-bing.The Gabriel monad and the localization of R-module category[J].Journal of Shandong University(Natural Science Edition),2014(2):24-28. |
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| Authors: | LIU Yang WANG Zheng-ping XU Qing-bing |
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| Institution: | 1. Department of Mathematics Chuzhou College, Chuzhou 239000, Anhui, China; 2. Chuzhou Vocational and Technical College, Chuzhou 239000, Anhui, China) |
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| Abstract: | A Gabriel monad is defined as the idempotent monad to characterize the quotient category and localization of R-module category, and prove that the Gabriel monad induces an equivalence between its image and coimage, its image is the localization category which is equivalent to a Kleisli category;its coimage is the quotient category which is equiv-alent to a Eilengerg-Moore category. |
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| Keywords: | Gabriel monad quotient category localization |
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