ArticleOriginal scientific text
Title
Ring-like structures with unique symmetric difference related to quantum logic
Authors 1, 1, 2
Affiliations
- Technische Universität Wien, Institut für Algebra und Computermathematik, Wiedner Hauptstraße 8-10, A-1040 Wien
- Warsaw University of Technology, Faculty of Mathematics and Information Science, Plac Politechniki 1, PL 00-661 Warsaw, Poland
Abstract
Ring-like quantum structures generalizing Boolean rings and having the property that the terms corresponding to the two normal forms of the symmetric difference in Boolean algebras coincide are investigated. Subclasses of these structures are algebraically characterized and related to quantum logic. In particular, a physical interpretation of the proposed model following Mackey's approach to axiomatic quantum mechanics is given.
Keywords
generalized Boolean quasiring, symmetric difference, quantum logic
Bibliography
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Pages:
239-253
Main language of publication
English
Received
2001-08-21
Published
2001
DOI: 10.7151/dmgaa.1041
Exact and natural sciences