Definition:Standard Affine Space

Definition
Let $n \geq 0$ be an integer.

Let $k$ be a field.

The standard affine space of dimension $n$ over $k$ is the vector space $k^n$ together with the standard affine structure.

Also known as
Then, $k^n$ is denoted by $\map {\mathbb A^n} k$ or $\mathbb A^n _k$.

Also see

 * Definition:Zariski Topology/Affine Space