Congruences generated by ideals of the compatibility center of lattice effect algebras

被引：2
|
作者：
Jenca, Gejza [1 ]
机构：
[1] Slovak Tech Univ, Dept Math & Descript Geometry, Fac Civil Engn, Bratislava 81368, Slovakia
来源：
SOFT COMPUTING | 2013年 / 17卷 / 01期
关键词：
Effect algebra; Lattice effect algebra; Compatibility center; PARTIAL ABELIAN MONOIDS;
D O I：
10.1007/s00500-012-0901-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We prove that for every lattice effect algebra, the system of all congruences generated by the prime ideals of the compatibility center separates the elements. This is a common generalization of Chang's representation theorem from 1959 and a result of Graves and Selesnick (Colloq Math 27:21-30, 1973).
引用
收藏
页码：45 / 47
页数：3
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