On the Non-existence of Two-Valued Lattice Homomorphisms of Quantum Logic

被引：0

作者：

Koga, Minoru ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Informat, Nagoya, Aichi 4648601, Japan

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2018年 / 57卷 / 08期

关键词：

Quantum logic; Two-valued lattice homomorphism; Prime filter;

D O I：

10.1007/s10773-018-3767-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that there exists no two-valued lattice homomorphism from the lattice of all closed linear subspaces of a Hilbert space with by using the notion of prime filters.

引用

页码：2461 / 2465

页数：5

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