## Affine Varieties – The Math

Definition: Let $K$ be a field and let $X subseteq mathbb{A}^n(K)$ be an affine algebraic set. Then $X$ is said to be Reducible if there exists affine algebraic sets $X_1$ and $X_2$ where $X_1, X_2 neq emptyset$ and $X_1, X_2 neq X$ and such that $X = X_1 cup X_2$. An affine algebraic set $X$ …