Boolean metric spaces and Boolean algebraic varieties

Details Boolean metric spaces and Boolean algebraic varieties Boolean metric spaces and Boolean algebraic varieties

2009-03-14

arxiv.org/abs/0903.2567v1

Commun. Algebra 32, No. 5, 1805-1822 (2004)

Mathematics

Commutative Algebra

Scientific paper

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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