Division Ring

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Formal Definition


If every nonzero element of a ring $R$ with unity is a unit, then $R$ is a Division Ring.

Informal Definition


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Example(s)


Every Field is a division ring such as $\mathbb{Q}$.

Non-example(s)


$\mathbb{Z}$ would not be an example of a division ring as not every element is a unit.

Additional Comments


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