2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223387The 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.Commutative AlgebraLogic13AXX (Primary) 06E30, 16E50, 51F99 (Secondary)text