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Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries

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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48790#.VDdUF1fHRK0

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.
Cite this paper
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. 
 

[1] Dubreil, P. and Jacotin, M.L. (1961) Lecciones de Algebra Moderna. Editorial Dunod, Francia.
[2] Mitchell, B. (1965) Theory of Categories. Academic Press, New York.
[3] Coxeter, H.S.M. (1973) Regular Polytopes. 3rd Edition. Dover Publication Inc., New York.
[4] José, M.V., Morgado, E.R. and Govezensky, T. (2007) An Extended RNA Code and Its Relationship to the Standard Genetic Code: An Algebraic and Geometrical Approach. Bulletin of Mathematical Biology, 69, 215-243.
http://dx.doi.org/10.1007/s11538-006-9119-3
[5] José, M.V., Morgado, E.R., Sánchez, R. and Govesenky, T. (2012) The 24 Possible Algebraic Representations of the Standard Genetic Code in Six or in Three Dimensions. Advanced Studies in Biology, 4, 119-152.
[6] José, M.V., Govesenky, T., García, J.A. and Bobadilla, J.R. (2009) On the Evolution of the Standard Genetic Code: Vestiges of Critical Scale Invariance from the RNA World to Current Prokaryote Genomes. PLoS ONE, 4, e4340.
http://dx.doi.org/10.1371/journal.pone.0004340             eww141010lx
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