# Category:Definitions/Bases of Vector Spaces

This category contains definitions related to Bases of Vector Spaces.
Related results can be found in Category:Bases of Vector Spaces.

Let $K$ be a division ring.

Let $\struct {G, +_G, \circ}_R$ be a vector space over $K$.

### Definition 1

A basis of $G$ is a linearly independent subset of $G$ which is a generator for $G$.

### Definition 2

A basis is a maximal linearly independent subset of $G$.

## Pages in category "Definitions/Bases of Vector Spaces"

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