Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries - Advances in Pure Mathematics

APM > Vol.4 No.8, August 2014

Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries ()

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DOI: 10.4236/apm.2014.48047 2,882 Downloads 3,516 Views

Author(s)

Eberto R. Morgado, Marco V. José

Affiliation(s)

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.

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.

KEYWORDS

Boolean Automorphisms, Boolean Algebra, Hypercube, Linear Isometries,

Share and Cite:

Morgado, E. and José, M. (2014) Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries. Advances in Pure Mathematics, 4, 368-372. doi: 10.4236/apm.2014.48047.

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