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Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48790#.VDdUF1fHRK0 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 , ...