一类效应代数中的理想  

IDEALS OF A CLASS OF EFFECT ALGEBRAS

作　　者：邢志红[1] 陈琳珏[1] 曹万昌[1] 

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2009年第4期613-614,共2页Journal of Jiamusi University：Natural Science Edition

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）.

关 键 词：效应代数 理想 闭理想 

分 类 号：O177.1[理学—数学]