摘要
讨论了超理想与二值有限可加测度的关系.从理想出发,研究了超理想的性质,得到了超理想的等价条件.一方面,以超理想为工具,构造了二值有限可加测度;另一方面,由一个二值有限可加测度得到了一个超理想.进而研究了两者的关系,证明了它们是一致的.
The main purpose of this paper is to show a kind of relation between ultraideals and two-valued finitely additive measures.Firstly,the properties of ultraideals are researched,and some equivalent conditions,that a ideal is ultraideals,are obtained.On the one hand,two-valued finitely additive measure is constructed with ultraideals;on the other hand,ultraideal is gotten with two-valued finitely additive measure.Furthermore,the consistence between them is proved.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第3期253-256,共4页
Journal of Yunnan University(Natural Sciences Edition)
基金
陕西省自然科学基金资助项目(2007A12)
西安培华学院校级课题资助项目(PHKT029201011)
关键词
理想
超理想
二值有限可加测度
ideals
ultraideals
two-valued finitely additive measure
