Orthomodular implication algebras

被引：22

作者：

Chajda, I

Halas, R

Länger, H

机构：

[1] Vienna Tech Univ, Inst Algebra & Comp Math, A-1040 Vienna, Austria

[2] Palacky Univ, Dept Algebra & Geometry, CR-77147 Olomouc, Czech Republic

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2001年 / 40卷 / 11期

关键词：

Field Theory; Elementary Particle; Quantum Field Theory; Boolean Algebra; Orthomodular Lattice;

D O I：

10.1023/A:1011933018776

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In Boolean algebras the properties of the implication operation can be modeled by a so-called implication algebra that itself can be considered as a join-semi lattice with 1 whose principal filters are Boolean algebras. This situation is generalized from Boolean algebras to orthomodular lattices.

引用

页码：1875 / 1884

页数：10

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[2]

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[3]

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[4]

Diego A., 1967, COLLECT LOGIQUE MA A, V21, P177

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INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (04) :1015-1026

[6]

Kalmbach G., 1983, Orthomodular Lattices, V18

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