Complete intersection ring (source code)

= Complete intersection ring
{wiki=Complete_intersection_ring}

In algebraic geometry and commutative algebra, a **complete intersection ring** is associated with a particular kind of algebraic variety, namely those that can be defined as the common zeros of a certain number of polynomials in a polynomial ring. To provide a clearer understanding, let’s go through some definitions step by step. 1. **Algebraic Variety**: An algebraic variety is a geometric object that is the solution set of a system of polynomial equations.