Weakly algebraic ideal topology of effect algebras

被引：0
作者：
Qing Jun Luo
Guo Jun Wang
机构：
[1] Xi’an University of Finance and Economics,School of Statistics
[2] Shaanxi Normal University,School of Mathematics and Information
来源：
Acta Mathematica Sinica, English Series | 2015年 / 31卷
关键词：
Effect algebra; weakly algebraic ideal; uniform topology; continuity; 03G12; 06B10; 54A20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we show that every weakly algebraic ideal of an effect algebra E induces a uniform topology (weakly algebraic ideal topology, for short) with which E is a first-countable, zero-dimensional, disconnected, locally compact and completely regular topological space, and the operation ⊕ of effect algebras is continuous with respect to these topologies. In addition, we prove that the operation ⊝ of effect algebras and the operations ∧ and ∨ of lattice effect algebras are continuous with respect to the weakly algebraic ideal topology generated by a Riesz ideal.
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页码：787 / 796
页数：9
相关论文
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