# Category:Generators of Vector Spaces

This category contains results about Generators of Vector Spaces.
Definitions specific to this category can be found in Definitions/Generators of Vector Spaces.

Let $K$ be a division ring.

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

Let $S \subseteq \mathbf V$ be a subset of $\mathbf V$.

$S$ is a generator of $\mathbf V$ if and only if every element of $\mathbf V$ is a linear combination of elements of $S$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Generators of Vector Spaces"

The following 7 pages are in this category, out of 7 total.