Note on Generalizations of Orthocomplete and Lattice Effect Algebras

被引:1
作者
Tkadlec, Josef [1 ]
机构
[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627, Czech Republic
关键词
Effect algebra; Orthocomplete; Lattice; Separable; Archimedean;
D O I
10.1007/s10773-011-0781-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is proved that two different common generalizations of orthocomplete and lattice effect algebras coincide within the class of separable Archimedean effect algebras.
引用
收藏
页码:3915 / 3918
页数:4
相关论文
共 10 条
[1]  
DESIMONE A, 1997, 40 U FED
[2]  
Dvurecenskij A., 2000, NEW TRENDS QUANTUM S
[3]   EFFECT ALGEBRAS AND UNSHARP QUANTUM-LOGICS [J].
FOULIS, DJ ;
BENNETT, MK .
FOUNDATIONS OF PHYSICS, 1994, 24 (10) :1331-1352
[4]  
Ovchinnikov PG., 1994, DEMONSTRATIO MATH, V27, P89
[5]   Central elements of effect algebras [J].
Tkadlec, J .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (06) :1363-1369
[6]  
TKADLEC J, 1997, TATRA MT MATH PUBL, V10, P55
[7]   Atomic sequential effect algebras [J].
Tkadlec, Josef .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (01) :185-192
[8]   Common Generalizations of Orthocomplete and Lattice Effect Algebras [J].
Tkadlec, Josef .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (12) :3279-3285
[9]   Atomistic and orthoatomistic effect algebras [J].
Tkadlec, Josef .
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (05)
[10]   Effect algebras with the maximality property [J].
Tkadlec, Josef .
ALGEBRA UNIVERSALIS, 2009, 61 (02) :187-194