摘要
以半单环和阿丁环为桥梁,构造了SF环的若干个局部化条件;在此基础上,把局部环的经典刻画结论推广到SF环上;进一步得到了SF环局部化条件下的K0群的性质;最后,讨论了SF环局部化条件下的总体维数.
Taken Artin ring and semisimple ring as bridges,some localization conditions of SF-ring are constructed for extending the classical characterization of local ring to SF-ring.The properties of groups under the condition of SF-ring localization are further obtained.Finally,the overall dimension of SF-ring localization is discussed.
作者
李艳午
Li Yanwu(Foundation Department,Wuhu Vocational College of Information Technology,Wuhu Anhui 241000,China)
出处
《曲靖师范学院学报》
2019年第6期1-3,共3页
Journal of Qujing Normal University
基金
安徽省教育厅自然科学研究重点项目“具有脉冲时滞的Lotka-Volterra互惠系统周期解的动力学应用研究”(KJ2016A760)
关键词
SF环
局部化
半单环
阿丁环
K0群
总体维数
SF-ring
localization
semi-simple ring
Artin ring
K0 group
general dimension
