A non-associative generalization of effect algebras

被引：0
|
作者：
Ivan Chajda
Helmut Länger
机构：
[1] Palacký University Olomouc,Department of Algebra and Geometry
[2] Vienna University of Technology,Institute of Discrete Mathematics and Geometry
来源：
Soft Computing | 2012年 / 16卷
关键词：
Skew effect algebra; Switching involution; Antitone involution; SSI-poset;
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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.
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页码：1411 / 1414
页数：3
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