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Boolean Metric Spaces and Boolean Algebraic Varieties.
- Source :
-
Communications in Algebra . May2004, Vol. 32 Issue 5, p1805-1822. 18p. - Publication Year :
- 2004
-
Abstract
- The concepts of Boolean metric space and convex combination are used to characterize polynomial maps An → Am in a class of commutative Von Neumann regular rings including 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 32
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 13304165
- Full Text :
- https://doi.org/10.1081/AGB-120029903