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When does a generalized Boolean quasiring become a Boolean ring?

Generalized Boolean quasirings are ring-like structures used as algebraic models in the foundations of axiomatic quantum mechanics. The quantum mechanical system corresponding to such a quasiring turns out to be a classical one if and only if this quasiring is a Boolean ring with unit. We characteri...

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Detalles Bibliográficos
Autores principales: Chajda, Ivan, Länger, Helmut
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182328/
https://www.ncbi.nlm.nih.gov/pubmed/30363739
http://dx.doi.org/10.1007/s00500-017-2983-y
Descripción
Sumario:Generalized Boolean quasirings are ring-like structures used as algebraic models in the foundations of axiomatic quantum mechanics. The quantum mechanical system corresponding to such a quasiring turns out to be a classical one if and only if this quasiring is a Boolean ring with unit. We characterize this situation by a single identity.