# Definition:Division Ring/Definition 3

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## Definition

A **division ring** is a ring with unity $\struct {R, +, \circ}$ such that:

- $R$ has no proper elements.

## Also see

- Results about
**division rings**can be found**here**.

## Sources

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- 1965: Seth Warner:
*Modern Algebra*... (previous) ... (next): $\S 23$ - 1978: Thomas A. Whitelaw:
*An Introduction to Abstract Algebra*... (previous) ... (next): $\S 55 \ (3)$. The definition of a ring and its elementary consequences