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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 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

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.

MSC: 06E75, 16S32, 81P10

Received: 15.10.2015
Revised: 05.12.2015

Language: English



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© Steklov Math. Inst. of RAS, 2024