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:
Foundations
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
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author Chajda, Ivan
Länger, Helmut
author_facet Chajda, Ivan
Länger, Helmut
author_sort Chajda, Ivan
collection PubMed
description 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.
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spelling pubmed-61823282018-10-22 When does a generalized Boolean quasiring become a Boolean ring? Chajda, Ivan Länger, Helmut Soft comput Foundations 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. Springer Berlin Heidelberg 2017-12-19 2018 /pmc/articles/PMC6182328/ /pubmed/30363739 http://dx.doi.org/10.1007/s00500-017-2983-y Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Foundations
Chajda, Ivan
Länger, Helmut
When does a generalized Boolean quasiring become a Boolean ring?
title When does a generalized Boolean quasiring become a Boolean ring?
title_full When does a generalized Boolean quasiring become a Boolean ring?
title_fullStr When does a generalized Boolean quasiring become a Boolean ring?
title_full_unstemmed When does a generalized Boolean quasiring become a Boolean ring?
title_short When does a generalized Boolean quasiring become a Boolean ring?
title_sort when does a generalized boolean quasiring become a boolean ring?
topic Foundations
url 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
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