TITLE:
Boolean Automorphisms of a Hypercube Coincide with the Linear Isometries
AUTHORS:
Eberto R. Morgado, Marco V. José
KEYWORDS:
Boolean Automorphisms, Boolean Algebra, Hypercube, Linear Isometries,
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.8,
August
15,
2014
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.