AN ORTHOMODULAR LATTICE ADMITTING NO GROUP-VALUED MEASURE

被引：38

作者：

NAVARA, M

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 01期

关键词：

ORTHOMODULAR LATTICE; GROUP-VALUED MEASURE; GREECHIE DIAGRAM;

D O I：

10.2307/2160833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a finite orthomodular lattice L such that, for each commutative group G, there is no nontrivial G-valued measure on L. This result extends a result of R. J. Greechie (Orthogonal lattices admitting no states, J. Combin. Theory Ser. A 10 (1971), 119-132), and also sheds light on recent investigations in the noncommutative measure theory.

引用

页码：7 / 12

页数：6