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| 超理想与二值有限可加测度 | |
| 引用本文： | 马春晖,史艳维,李生刚. 超理想与二值有限可加测度[J]. 云南大学学报(自然科学版), 2011, 33(3): 253-256 |
| 作者姓名： | 马春晖 史艳维 李生刚 |
| 作者单位： | 1. 西安建筑科技大学 理学院, 陕西 西安 710055; 2. 陕西师范大学 数学与信息科学学院, 陕西 西安 710062; 3. 西安培华学院 基础部, 陕西 西安 710125 |
| 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. |
| 关 键 词： | 理想 超理想 二值有限可加测度 |
| 收稿时间： | 2010-10-31 |
Ultraideals and two-valued finitely additive measures |
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| MA Chun-hui,SHI Yan-wei,LI Sheng-gang. Ultraideals and two-valued finitely additive measures[J]. Journal of Yunnan University(Natural Sciences), 2011, 33(3): 253-256 | |
| Authors: | MA Chun-hui SHI Yan-wei LI Sheng-gang |
| Affiliation: | 1. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China; 2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China; 3. Department of Basic Courses, Xi'an Peihua University, Xi'an 710125, China |
| Abstract: | 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. |
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