关于半模正合列的研究  

The Study on Exact Sequence of Semi-Module

作　　者：邹雅文 王颂生[1] 黄艳[1] 李娟[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2017年第4期374-378,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11261021);江西省自然科学基金(2014BAB201018)资助项目

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.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.

关 键 词：正合列 同态 交换图 

分 类 号：O153.3[理学—数学]