Ring-like structures with unique symmetric difference related to quantum logic
Dietmar Dorninger ; Helmut Länger ; Maciej Maczyński
Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001), p. 239-253 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:287601 
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Dietmar Dorninger; Helmut Länger; Maciej Maczyński. Ring-like structures with unique symmetric difference related to quantum logic. Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001) pp. 239-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1041/

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