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
相关论文
共 50 条
  • [1] Congruences generated by ideals of the compatibility center of lattice effect algebras
    Gejza Jenča
    Soft Computing, 2013, 17 : 45 - 47
  • [2] CONGRUENCES AND IDEALS IN LATTICE EFFECT ALGEBRAS AS BASIC ALGEBRAS
    Pulmannova, Sylvia
    Vincekova, Elena
    KYBERNETIKA, 2009, 45 (06) : 1030 - 1039
  • [3] Congruences and ideals of effect algebras
    Avallone, A
    Vitolo, P
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2003, 20 (01): : 67 - 77
  • [4] Congruences and Ideals of Effect Algebras
    Anna Avallone
    Paolo Vitolo
    Order, 2003, 20 : 67 - 77
  • [5] Congruences and ideals in pseudo effect algebras as total algebras
    Silvia Pulmannová
    Elena Vinceková
    Soft Computing, 2010, 14 : 1209 - 1215
  • [6] Congruences and ideals in pseudo effect algebras as total algebras
    Pulmannova, Silvia
    Vincekova, Elena
    SOFT COMPUTING, 2010, 14 (11) : 1209 - 1215
  • [7] Ideals and congruences in effect algebras and QMV-algebras
    Giuntini, R
    Pulmannová, S
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (03) : 1567 - 1592
  • [8] LATTICE ORDERED ALGEBRAS GENERATED BY A SYSTEM OF IDEALS
    JAKUBIK, J
    COLLOQUIUM MATHEMATICUM, 1969, 20 (01) : 31 - &
  • [9] Ideals and congruences of basic algebras
    Chajda, Ivan
    Kuehr, Jan
    SOFT COMPUTING, 2013, 17 (03) : 401 - 410
  • [10] Ideals and congruences of basic algebras
    Ivan Chajda
    Jan Kühr
    Soft Computing, 2013, 17 : 401 - 410
12345