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In mathematics, a solution set for a collection of
polynomials {fi} over
some ring R is defined
to be the set .
Examples
1. The solution set of f(x): = x over the real numbers is the set {0}.
2. For any non-zero polynomial f over the complex numbers in one variable, the solution set is made up of finitely many points. However, for a
complex polynomial in more than one variable the solution set has no isolated points.
Remarks
In Algebraic Geometry solution sets are used to define the
Zariski topology. See affine varieties.
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