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.
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).
出处
《佳木斯大学学报(自然科学版)》
CAS
2009年第4期613-614,共2页
Journal of Jiamusi University:Natural Science Edition
关键词
效应代数
理想
闭理想
effect algebras
ideal
closed Ideal