关于模范畴的商范畴与局部化

J4 ›› 2013, Vol. 48 ›› Issue (4): 46-50.

关于模范畴的商范畴与局部化

许庆兵1,陈华喜2

1.滁州职业技术学院基础部, 安徽滁州 239000; 2.蚌埠学院数理系, 安徽蚌埠 233030

收稿日期:2012-02-29 出版日期:2013-04-20 发布日期:2013-04-16
作者简介:许庆兵(1975- ),男,硕士,讲师,研究方向为代数表示论. Email:qingbingxu2005@gmail.com
基金资助:
安徽省高校省级自然科学研究项目(KJ2012Z300, KJ2011B119)

On the quotient category and localization of an R-module Category

1. Basic Department, Chuzhou Vocational and Technical College, Chuzhou 239000, Anhui, China;
2. Mathematics and Physics Department, Bengbu College, Bengbu 233030, Anhui, China

Received:2012-02-29 Online:2013-04-20 Published:2013-04-16

摘要/Abstract

摘要：

通过构造范畴等价函子,证明了由正向极限定义的模范畴的商范畴与用分式等价类构成的局部化范畴是等价的。应用该方法,证明了Abel范畴与三角范畴中的相关结论。

关键词: 商范畴;局部化;分式

Abstract:

The quotient category of an R-module category which is defined by the directed limit and its localization which is given by the equivalent classes of the roofs are proved to be equivalent. For the Abel category and triangulated category,the similar results are obtained.

Key words: quotient category; localization; roof

许庆兵1,陈华喜2. 关于模范畴的商范畴与局部化[J]. J4, 2013, 48(4): 46-50.

On the quotient category and localization of an R-module Category. On the quotient category and localization of an R-module Category[J]. J4, 2013, 48(4): 46-50.

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