| 一类效应代数中的理想 |
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| 引用本文： | 邢志红,陈琳珏,曹万昌.一类效应代数中的理想[J].佳木斯工学院学报,2009(4):613-614. |
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| 作者姓名： | 邢志红 陈琳珏 曹万昌 |
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| 作者单位： | 佳木斯大学理学院,黑龙江佳木斯154007 |
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| 摘 要： | 证明了若I是效应代数（E（Ω）,,⊥,0,1）的一个闭理想,则存在Ω的一个闭的子集S,使得I是所有在S上为零的函数的集合.反之,若S是一个Ω的闭子集,则所有在S上为零的函数之集是效应代数（E（Ω）,,⊥,0,1）的一个闭理想.
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| 关 键 词： | 效应代数 理想 闭理想 |
IDEALS OF A CLASS OF EFFECT ALGEBRAS |
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| Affiliation: | XING Zhi-hong, CHEN Lin-jue, CHAO Wan-chang (College of Science, Jiamusi University, Jiamusi 154007, China) |
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| Abstract: | In this paper,the ideals of a class of effect algebras were studied.It is proved that if I is a closed ideal in（E（Ω）,,⊥,0,1）,then there is a closed subset S of Ω that I is the set of all functions vanishing on S,and that if S is a closed subset of Ω,the set of all functions vanishing on S is a closed ideal in（E（Ω）,,⊥,0,1）. |
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| Keywords: | effect algebras ideal closed Ideal |
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