Unit

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Formal Definition

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Let $R$ be a ring with unity. An element $u$ in $R$ is a unit of $R$ if it has a multiplicative inverse in $R$. If every nonzero element of $R$ is a unit, then $R$ is a division ring. A field is a commutative division ring. A noncommutative division ring is a skew field.

Informal Definition

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Example(s)

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Non-example(s)

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Additional Comments

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