Boolean Metric Spaces and Boolean Algebraic Varieties
نویسندگان
چکیده
منابع مشابه
Boolean Metric Spaces and Boolean Algebraic Varieties
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 t...
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Every ring R with identity satisfies the following property: the factor ideals of R (i.e., those ideals I such that I+ J= R and In J= (0) for some ideal J) form a Boolean sublattice of the lattice of all ideals of R. The universal algebraic abstraction of this property is known as Boolean factor congruences (BFC) or as the strict refinement property; more examples of algebras having BFC are lat...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2004
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120029903