Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boolean metric spaces and Boolean algebraic varieties   The concepts of Boolean metric space and convex combination are used to
characterize polynomial maps in a class of commutative Von Neumann regular
rings including Boolean rings and p-rings, that we have called CFG-rings. In
those rings, the study of the category of algebraic varieties (i.e. sets of
solutions to a finite number of polynomial equations with polynomial maps as
morphisms) is equivalent to the study of a class of Boolean metric spaces, that
we call here CFG-spaces.

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The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph