# Category:Dimension (Linear Algebra)

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This category contains results about **Dimension** in the context of **Linear Algebra**.

Definitions specific to this category can be found in Definitions/Dimension (Linear Algebra).

### Module

Let $R$ be a ring with unity.

Let $G$ be a unitary $R$-module which has a basis of $n$ elements.

Then $G$ is said to have a **dimension of $n$** or to be **$n$-dimensional**.

### Vector Space

Let $K$ be a division ring.

Let $V$ be a vector space over $K$.

The **dimension of $V$** is the number of vectors in a basis for $V$.

## Subcategories

This category has only the following subcategory.