Finite homogeneous and lattice ordered effect algebras

被引：6
作者：
Jenca, G [1 ]
机构：
[1] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Dept Math, Bratislava 81219, Slovakia
来源：
DISCRETE MATHEMATICS | 2003年 / 272卷 / 2-3期
关键词：
effect algebra; orthomodular lattice; test spaces;
D O I：
10.1016/S0012-365X(03)00256-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for every finite homogeneous effect algebra E there exists a finite orthoalgebra O(E) and a surjective full morphism phi(E) : O(E) --> E. If E is lattice ordered, then O(E) is an orthomodular lattice. Moreover, phi(E) preserves blocks in both directions: the (pre)image of a block is always a block. (C) 2003 Elsevier B.V. All rights reserved.
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收藏
页码：197 / 214
页数：18
相关论文
共 23 条
  • [1] Phi-symmetric effect algebras
    Bennett, MK
    Foulis, DJ
    [J]. FOUNDATIONS OF PHYSICS, 1995, 25 (12) : 1699 - 1722
  • [2] Beran L., 1985, ORTHOMODULAR LATTICE
  • [3] BUSH P, 1995, OPERATIONAL QUANTUM
  • [4] CHANG CC, 1959, T AM MATH SOC, V89, P74
  • [5] Chovanec F., 1997, TATRA MT MATH PUBL, V10, P1
  • [6] Dvurecenskij A., 2000, MATH ITS APPL, V516
  • [7] EFFECT ALGEBRAS AND UNSHARP QUANTUM-LOGICS
    FOULIS, DJ
    BENNETT, MK
    [J]. FOUNDATIONS OF PHYSICS, 1994, 24 (10) : 1331 - 1352
  • [8] TENSOR-PRODUCTS OF ORTHOALGEBRAS
    FOULIS, DJ
    BENNETT, MK
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1993, 10 (03): : 271 - 282
  • [9] OPERATIONAL STATISTICS .1. BASIC CONCEPTS
    FOULIS, DJ
    RANDALL, CH
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (11) : 1667 - &
  • [10] FOULIS DJ, 1995, INT J THEOR PHYS, V35, P789
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