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内射余分解类与投射分解类
引用本文:曾月迪,陈建龙.内射余分解类与投射分解类[J].数学学报,2012(1):41-54.
作者姓名:曾月迪  陈建龙
作者单位:莆田学院数学与应用数学系;东南大学数学系
基金项目:国家自然基金资助项目(10871042);高等学校博士学科点专项科研基金(200802860024)
摘    要:令是直和与直和项封闭的右R-模类.本文讨论了关于内射余分解类与投射分解类的左(右)-维数和左正合函子之间的关系,并由此得到一些应用.

关 键 词:(内射)余分解  (投射)分解  维数

Injectively Coresolving Classes and Projectively Resolving Classes
Yue Di ZENG.Injectively Coresolving Classes and Projectively Resolving Classes[J].Acta Mathematica Sinica,2012(1):41-54.
Authors:Yue Di ZENG
Institution:Department of Mathematics,Southeast University,Nanjing 210096,P.R.China
Abstract:In this paper,let  be a class of right R-modules closed under isomorphisms and direct summands.The relations between left(right)-dimensions and left exact functors are considered for an(injectively) coresolving class  or a(projectively) resolving class .In view of those,there are some applications.
Keywords:(injectively) coresolving  (projectively) resolving  dimensions
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