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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 1, Pages 106–143 (Mi adm622)  
RESEARCH ARTICLE

Quantum Boolean algebras

Rafael Díaz

Universidad Nacional de Colombia - Sede Medellín, Facultad de Ciencias, Escuela de Matemáticas, Medellín, Colombia
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Abstract: We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and the set theoretical viewpoints.
Keywords: Boolean algebras, Weyl algebras, quantum logic.
Received: 15.10.2015
Revised: 05.12.2015
Bibliographic databases:
Document Type: Article
MSC: 06E75, 16S32, 81P10
Language: English
Citation: Rafael Díaz, “Quantum Boolean algebras”, Algebra Discrete Math., 24:1 (2017), 106–143
Citation in format AMSBIB
\Bibitem{Dia17}
\by Rafael~D{\'\i}az
\paper Quantum Boolean algebras
\jour Algebra Discrete Math.
\yr 2017
\vol 24
\issue 1
\pages 106--143
\mathnet{http://mi.mathnet.ru/adm622}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416842300008}
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