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Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries
Facultad de Matemática, Física y Computación, Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba
Theoretical Biology Group, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, México D.F., México
- 1 Facultad de Matemática, Física y Computación, Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba
- 2 Theoretical Biology Group, Instituto de Investigaciones Biomédicas, Universidad Nacional Autónoma de México, México D.F., México
Advances in Pure Mathematics·Volume 04 (2014)·Pages 368–372·Published 15 August 2014·DOI10.4236/apm.2014.48047
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Abstract
Boolean homomorphisms of a hypercube, which correspond to the morphisms in the category of finite Boolean algebras, coincide with the linear isometries of the category of finite binary metric vector spaces.
KeywordsBoolean AutomorphismsBoolean AlgebraHypercubeLinear Isometries
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