Solution set

In mathematics, a solution set for a collection of polynomials {f_i} 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.