Solution
= Solution
For <affine varieties> $X\subset\mathbb A^m$ and $Y\subset\mathbb A^n$, a <morphism of affine varieties> is a map whose $n$ coordinate functions are restrictions to $X$ of <polynomials> in its $m$ ambient coordinates. Intrinsically, its coordinates belong to the <coordinate ring> $A(X)$; they must satisfy the defining relations of $Y$.