Boolean metric spaces and Boolean algebraic varieties
Commutative Algebra
2009-03-17 v1 Logic
Abstract
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.
Cite
@article{arxiv.0903.2567,
title = {Boolean metric spaces and Boolean algebraic varieties},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.2567},
year = {2009}
}