A non-associative generalization of effect algebras

被引：3

作者：

Chajda, Ivan ^{[2
]}

Laenger, Helmut ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Discrete Math & Geometry, A-1040 Vienna, Austria

[2] Palacky Univ, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

来源：

SOFT COMPUTING | 2012年 / 16卷 / 08期

关键词：

Skew effect algebra; Switching involution; Antitone involution; SSI-poset; COMMUTATIVE BASIC ALGEBRAS; PSEUDOEFFECT ALGEBRAS; LOGICS;

D O I：

10.1007/s00500-012-0844-2

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Effect algebras play an important role in the logic of quantum mechanics. The aim of this paper is to drop the associativity of addition. However, some important properties of effect algebras are preserved, e.g. every so-called skew effect algebra is still a bounded poset with an antitone involution. Moreover, skew effect algebras are fully characterized as certain bounded posets with sectionally switching involutions.

引用

页码：1411 / 1414

页数：4

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