# Category:Bases of Vector Spaces

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This category contains results about Bases of Vector Spaces.

Definitions specific to this category can be found in Definitions/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 $G$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Bases of Vector Spaces"

The following 15 pages are in this category, out of 15 total.