Lattice ordered effect algebras

被引：0

作者：

Sykes, SR ^{[1
]}

机构：

[1] Univ W Georgia, Dept Math, Carrollton, GA 30117 USA

来源：

ALGEBRA UNIVERSALIS | 2003年 / 49卷 / 02期

关键词：

lattice order; effect algebra; orthoalgebra;

D O I：

10.1007/s00012-003-2500-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to discuss some structural properties of lattice ordered effect algebras. We will use these structural properties to find certain lattices and classes of lattices that do not admit an effect algebra structure. Filially, using these structural properties, we will show that if L is the face lattice of a convex polytope in R-3 with more than 3 vertices, then L does riot admit, an effect, algebra structure.

引用

页码：191 / 199

页数：9

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