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

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

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

  1. 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

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

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