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关于半模正合列的研究
引用本文:邹雅文,王颂生,黄 艳,李 娟.关于半模正合列的研究[J].江西师范大学学报(自然科学版),2017,0(4):372-376.
作者姓名:邹雅文  王颂生  黄 艳  李 娟
作者单位:江西师范大学数学与信息科学学院,江西 南昌 330022
摘    要:利用同余方式定义了半模正合列,探讨了半模正合列的若干性质,并给出了不同条件下半模正合列的几个等价刻画; 得到了半模正合列中类似于“五引理”和“三引理”的结论.

关 键 词:正合列  同态  交换图

The Study on Exact Sequence of Semi-Module
ZOU Yawen,WANG Songsheng,HUANG Yan,LI Juan.The Study on Exact Sequence of Semi-Module[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2017,0(4):372-376.
Authors:ZOU Yawen  WANG Songsheng  HUANG Yan  LI Juan
Institution:College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
Abstract:The notion of the exact sequences of semi-module over semi-rings is introduced by the congruence and some properties of the exact sequences of semi-modules are discussed,and several equivalent characterizations of semi-exact sequences under different conditions are obtained.The conclusion of the "five lemma" and "three lemma" which are similar to those in the semi-modules exact column is obtained.
Keywords:exact sequence  homo-morphism  commutative diagram
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