---
type: "concept"
title: "Affine space over a field"
slug: "affine-space-over-a-field"
language: "en"
translationGroupId: "cmrbs07f40005pa013tv824nk"
domain: "Algebra"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

The affine $n$-space over a [[Field|field]] $k$ is the cartesian product $\mathbb{A}^{n}_{k}=k^{n}$.

##### Remarks
- Not to be confused with the geometrical notion of an affine space.