# Category:Generators of Vector Spaces

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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 the following 2 subcategories, out of 2 total.

## Pages in category "Generators of Vector Spaces"

The following 6 pages are in this category, out of 6 total.