# Role of the structure of Boolean hypercubes when used as vectors in natural (Boolean) vector semispaces

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Sir:

In this letter, some thoughts about the possibility that vector spaces with finite cardinality might be defined will be put forward. From the point of view of two operations defining finite cardinality vector semispaces. Such framework, might be closely related with usual molecular representations in terms of chemical graphs and their associated topological matrices for use in QSPR procedures, see for example Ref. [1].

Although the development of Boolean Algebras, see for a list of topics [2], and the question of this letter is both a deep and broad subject, see for example [3, 4, 5], here it has been chosen a naïve description, just to allow the topic to be easily connected with chemical problems in the future.

As it is well-known, finite *N*-Dimensional Vector Spaces and Subspaces, defined over a Field like the Rational: \( {\mathbb{V}}_{N} \left( {\mathbb{Q}} \right) \)

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## References

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